Journal of Biological Dynamics, Volume 12, Issue 1 (2018)

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Journal of Biological Dynamics, Volume 12, Issue 1 (2018)

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Articles

Article
Periodic solution of a stochastic SIRS epidemic model with seasonal variation
Manli Jin & Yuguo Lin
Pages: 1-10
Published online: 07 Nov 2017
AbstractforPeriodic solution of a stochastic SIRS epidemic model with seasonal variation | Full Text | References | PDF (900.2 KB)
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Book Review

Book Review
Systems biology: mathematical modeling and model analysis
Christian T. K.-H. Stadtländer
Pages: 11-15
Published online: 11 Nov 2017
First Page PreviewforSystems biology: mathematical modeling and model analysis | Full Text | References | PDF (478.1 KB)
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Articles

Article
Discrete stochastic analogs of Erlang epidemic models
Wayne M. Getz & Eric R. Dougherty
Pages: 16-38
Published online: 20 Nov 2017
AbstractforDiscrete stochastic analogs of Erlang epidemic models | Full Text | References | PDF (2.9 MB) | Supplemental
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Article
Stability of equilibria in quantitative genetic models based on modified-gradient systems
Benjamin J. Ridenhour & Jerry R. Ridenhour
Pages: 39-50
Published online: 20 Nov 2017
AbstractforStability of equilibria in quantitative genetic models based on modified-gradient systems | Full Text | References | PDF (1.3 MB)
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Article
Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model
Michael Barfield, Maia Martcheva, Necibe Tuncer & Robert D. Holt
Pages: 51-88
Published online: 22 Nov 2017
AbstractforBackward bifurcation and oscillations in a nested immuno-eco-epidemiological model | Full Text | References | PDF (3.2 MB)
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Article
An age-structured within-host HIV-1 infection model with virus-to-cell and cell-to-cell transmissions
Rui Xu, Xiaohong Tian & Shihua Zhang
Pages: 89-117
Published online: 24 Nov 2017
AbstractforAn age-structured within-host HIV-1 infection model with virus-to-cell and cell-to-cell transmissions | Full Text | References | PDF (2.4 MB)
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Article
Global dynamics of an epidemiological model with age of infection and disease relapse
Rui Xu
Pages: 118-145
Published online: 03 Dec 2017
AbstractforGlobal dynamics of an epidemiological model with age of infection and disease relapse | Full Text | References | PDF (2 MB)
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Article
Stability and Hopf bifurcation for a five-dimensional virus infection model with Beddington–DeAngelis incidence and three delays
Hui Miao, Zhidong Teng & Xamxinur Abdurahman
Pages: 146-170
Published online: 03 Dec 2017
AbstractforStability and Hopf bifurcation for a five-dimensional virus infection model with Beddington–DeAngelis incidence and three delays | Full Text | References | PDF (2.3 MB)
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Article
Homogenization techniques for population dynamics in strongly heterogeneous landscapes
Brian P. Yurk & Christina A. Cobbold
Pages: 171-193
Published online: 11 Dec 2017
AbstractforHomogenization techniques for population dynamics in strongly heterogeneous landscapes | Full Text | References | PDF (1.9 MB)
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Article
A mathematical model of tumour growth with Beddington–DeAngelis functional response: a case of cancer without disease
Hsiu-Chuan Wei
Pages: 194-210
Published online: 11 Jan 2018
AbstractforA mathematical model of tumour growth with Beddington–DeAngelis functional response: a case of cancer without disease | Full Text | References | PDF (1.6 MB)
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Article
How noise and coupling influence leading indicators of population extinction in a spatially extended ecological system
Suzanne M. O'Regan
Pages: 211-241
Published online: 25 Jun 2017
AbstractforHow noise and coupling influence leading indicators of population extinction in a spatially extended ecological system | Full Text | References | PDF (7.7 MB) | Supplemental
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Article
Singular stochastic control model for algae growth management in dam downstream
Hidekazu Yoshioka & Yuta Yaegashi
Pages: 242-270
Published online: 20 Feb 2018
AbstractforSingular stochastic control model for algae growth management in dam downstream | Full Text | References | PDF (2.6 MB)
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Article
Hierarchical competition models with the Allee effect III: multispecies
S. Elaydi, E. Kwessi & G. Livadiotis
Pages: 271-287
Published online: 06 Mar 2018
AbstractforHierarchical competition models with the Allee effect III: multispecies | Full Text | References | PDF (3.5 MB)
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Article
Dynamics of populations with individual variation in dispersal on bounded domains
Robert Stephen Cantrell, Chris Cosner & Xiao Yu
Pages: 288-317
Published online: 11 Mar 2018
AbstractforDynamics of populations with individual variation in dispersal on bounded domains | Full Text | References | PDF (2.3 MB)
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Article
A comparative study of integrated pest management strategies based on impulsive control
Joseph Páez Chávez, Dirk Jungmann & Stefan Siegmund
Pages: 318-341
Published online: 15 Mar 2018
AbstractforA comparative study of integrated pest management strategies based on impulsive control | Full Text | References | PDF (3.6 MB)
  • 1963 Views
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Article
Dynamics analysis of a predator–prey system with harvesting prey and disease in prey species
Xin-You Meng, Ni-Ni Qin & Hai-Feng Huo
Pages: 342-374
Published online: 04 Apr 2018
AbstractforDynamics analysis of a predator–prey system with harvesting prey and disease in prey species | Full Text | References | PDF (2.7 MB)
  • 4372 Views
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Article
Epidemic models with heterogeneous mixing and indirect transmission
Jummy Funke David
Pages: 375-399
Published online: 05 May 2018
AbstractforEpidemic models with heterogeneous mixing and indirect transmission | Full Text | References | PDF (1.8 MB)
  • 2355 Views
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Article
A mathematical model of malaria transmission in a periodic environment
Traoré Bakary, Sangaré Boureima & Traoré Sado
Pages: 400-432
Published online: 05 May 2018
AbstractforA mathematical model of malaria transmission in a periodic environment | Full Text | References | PDF (3.2 MB)
  • 7788 Views
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Article
Global exponential stability of positive periodic solution of the n-species impulsive Gilpin–Ayala competition model with discrete and distributed time delays
Kaihong Zhao
Pages: 433-454
Published online: 08 May 2018
AbstractforGlobal exponential stability of positive periodic solution of the n-species impulsive Gilpin–Ayala competition model with discrete and distributed time delays | Full Text | References | PDF (1.5 MB)
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Article
Dispersal altering local states has a limited effect on persistence of a metapopulation
Jingjing Xu & Geoff Wild
Pages: 455-470
Published online: 14 May 2018
AbstractforDispersal altering local states has a limited effect on persistence of a metapopulation | Full Text | References | PDF (1.8 MB)
  • 745 Views
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Article
Selfish altruism, fierce cooperation and the predator
Nikolaos Askitas
Pages: 471-485
Published online: 18 May 2018
AbstractforSelfish altruism, fierce cooperation and the predator | Full Text | References | PDF (1.8 MB)
  • 1910 Views
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Article
An SIR pairwise epidemic model with infection age and demography
Wenjun Jing, Zhen Jin & Juping Zhang
Pages: 486-508
Published online: 01 Jun 2018
AbstractforAn SIR pairwise epidemic model with infection age and demography | Full Text | References | PDF (2.5 MB)
  • 2313 Views
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Article
Analytical and computational study of an individual-based network model for the spread of heavy drinking
Donald A. French, Marisa Eisenberg, Tony Nance & Zeynep Teymuroglu
Pages: 509-526
Published online: 23 May 2018
AbstractforAnalytical and computational study of an individual-based network model for the spread of heavy drinking | Full Text | References | PDF (1.6 MB)
  • 1051 Views
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Article
Effects of pesticide dose on Holling II predator–prey model with feedback control
Jin Yang & Yuanshun Tan
Pages: 527-550
Published online: 04 Jun 2018
AbstractforEffects of pesticide dose on Holling II predator–prey model with feedback control | Full Text | References | PDF (6.3 MB)
  • 1043 Views
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Article
On the dynamics of one-prey-n-predator impulsive reaction-diffusion predator–prey system with ratio-dependent functional response
Zijian Liu, Lei Zhang, Ping Bi, Jianhua Pang, Bing Li & Chengling Fang
Pages: 551-576
Published online: 02 Jul 2018
AbstractforOn the dynamics of one-prey-n-predator impulsive reaction-diffusion predator–prey system with ratio-dependent functional response | Full Text | References | PDF (2.5 MB)
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Article
Dynamics of malaria transmission model with sterile mosquitoes
Hongyan Yin, Cuihong Yang, Xin'an Zhang & Jia Li
Pages: 577-595
Published online: 19 Jul 2018
AbstractforDynamics of malaria transmission model with sterile mosquitoes | Full Text | References | PDF (2.2 MB)
  • 1466 Views
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Article
Characterization of Wolbachia enhancing domain in mosquitoes with imperfect maternal transmission
Bo Zheng & Jianshe Yu
Pages: 596-610
Published online: 19 Jul 2018
AbstractforCharacterization of Wolbachia enhancing domain in mosquitoes with imperfect maternal transmission | Full Text | References | PDF (1.3 MB)
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Article
The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization
Tahir Khan, Gul Zaman & Muhammad Ikhlaq Chohan
Pages: 611-631
Published online: 26 Jul 2018
AbstractforThe transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization | Full Text | References | PDF (7.6 MB)
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Article
A particle model analysing the behavioural rules underlying the collective flight of a bee swarm towards the new nest
Sara Bernardi, Annachiara Colombi & Marco Scianna
Pages: 632-662
Published online: 27 Jul 2018
AbstractforA particle model analysing the behavioural rules underlying the collective flight of a bee swarm towards the new nest | Full Text | References | PDF (3 MB)
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Article
Oscillatory behaviour control in a continuous culture under double-substrate limitation
Piotr Skupin & Mieczyslaw Metzger
Pages: 663-682
Published online: 28 Jul 2018
AbstractforOscillatory behaviour control in a continuous culture under double-substrate limitation | Full Text | References | PDF (2.5 MB)
  • 1118 Views
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Article
Asynchronous exponential growth for a two-phase size-structured population model and comparison with the corresponding one-phase model
Meng Bai & Shihe Xu
Pages: 683-699
Published online: 01 Aug 2018
AbstractforAsynchronous exponential growth for a two-phase size-structured population model and comparison with the corresponding one-phase model | Full Text | References | PDF (1.2 MB)
  • 639 Views
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Article
Analysis of latent CHIKV dynamics models with general incidence rate and time delays
Ahmed M. Elaiw, Taofeek O. Alade & Saud M. Alsulami
Pages: 700-730
Published online: 01 Aug 2018
AbstractforAnalysis of latent CHIKV dynamics models with general incidence rate and time delays | Full Text | References | PDF (2.7 MB)
  • 1057 Views
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Article
Characterising model dynamics using sparse grid interpolation: Parameter estimation of cholera
Aditya Sai & Nan Kong
Pages: 731-745
Published online: 16 Aug 2018
AbstractforCharacterising model dynamics using sparse grid interpolation: Parameter estimation of cholera | Full Text | References | PDF (1.8 MB)
  • 866 Views
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Article
The large graph limit of a stochastic epidemic model on a dynamic multilayer network
Karly A. Jacobsen, Mark G. Burch, Joseph H. Tien & Grzegorz A. Rempała
Pages: 746-788
Published online: 03 Sep 2018
AbstractforThe large graph limit of a stochastic epidemic model on a dynamic multilayer network | Full Text | References | PDF (3.7 MB)
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Article
Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate
Junyuan Yang & Yuming Chen
Pages: 789-816
Published online: 14 Oct 2018
AbstractforTheoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate | Full Text | References | PDF (2.4 MB)
  • 948 Views
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Article
Stochastic differential game for management of non-renewable fishery resource under model ambiguity
Hidekazu Yoshioka & Yuta Yaegashi
Pages: 817-845
Published online: 16 Oct 2018
AbstractforStochastic differential game for management of non-renewable fishery resource under model ambiguity | Full Text | References | PDF (2.9 MB)
  • 940 Views
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Article
A mathematical study to control Guinea worm disease: a case study on Chad
Indrajit Ghosh, Pankaj Kumar Tiwari, Sandip Mandal, Maia Martcheva & Joydev Chattopadhyay
Pages: 846-871
Published online: 16 Oct 2018
AbstractforA mathematical study to control Guinea worm disease: a case study on Chad | Full Text | References | PDF (2.8 MB)
  • 1819 Views
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Article
Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations
Camille Pouchol & Emmanuel Trélat
Pages: 872-893
Published online: 24 Oct 2018
AbstractforGlobal stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations | Full Text | References | PDF (1.7 MB)
  • 963 Views
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Article
Dengue in the Philippines: model and analysis of parameters affecting transmission
Aurelio A. de los Reyes V & Jose Maria L. Escaner IV
Pages: 894-912
Published online: 24 Oct 2018
AbstractforDengue in the Philippines: model and analysis of parameters affecting transmission | Full Text | References | PDF (3 MB)
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Article
Efficacy of control measures in the control of Ebola, Liberia 2014–2015
Necibe Tuncer, Chindu Mohanakumar, Samuel Swanson & Maia Martcheva
Pages: 913-937
Published online: 24 Oct 2018
AbstractforEfficacy of control measures in the control of Ebola, Liberia 2014–2015 | Full Text | References | PDF (2.2 MB)
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Article
Analysis of Lauffenburger-Kennedy bacterial infection model for tissue inflammation dynamics
Yu Yang, Alhaji Cherif & Yuxin Zhang
Pages: 938-960
Published online: 29 Oct 2018
AbstractforAnalysis of Lauffenburger-Kennedy bacterial infection model for tissue inflammation dynamics | Full Text | References | PDF (1.8 MB)
  • 1297 Views
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Article
Combination of singularly perturbed vector field method and method of directly defining the inverse mapping applied to complex ODE system prostate cancer model
Ophir Nave & Miriam Elbaz
Pages: 961-986
Published online: 01 Nov 2018
AbstractforCombination of singularly perturbed vector field method and method of directly defining the inverse mapping applied to complex ODE system prostate cancer model | Full Text | References | PDF (2.6 MB)
  • 935 Views
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Article
Bifurcation analysis of an age-structured alcoholism model
Zhong-Kai Guo, Hai-Feng Huo & Hong Xiang
Pages: 987-1011
Published online: 01 Nov 2018
AbstractforBifurcation analysis of an age-structured alcoholism model | Full Text | References | PDF (2.9 MB)
  • 962 Views
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Article
A delayed HIV infection model with apoptosis and viral loss
Saroj Kumar Sahani & Yashi
Pages: 1012-1034
Published online: 21 Nov 2018
AbstractforA delayed HIV infection model with apoptosis and viral loss | Full Text | References | PDF (3.1 MB)
  • 973 Views
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Article
Complex contagion leads to complex dynamics in models coupling behaviour and disease
Matthew Osborne, Xueying Wang & Joseph Tien
Pages: 1035-1058
Published online: 25 Nov 2018
AbstractforComplex contagion leads to complex dynamics in models coupling behaviour and disease | Full Text | References | PDF (2.8 MB)
  • 1459 Views
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Article
A discrete host-parasitoid model with development of pesticide resistance and IPM strategies
Juhua Liang, Sanyi Tang & Robert A. Cheke
Pages: 1059-1078
Published online: 24 Dec 2018
AbstractforA discrete host-parasitoid model with development of pesticide resistance and IPM strategies | Full Text | References | PDF (1.8 MB)
  • 1024 Views
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