Journal of Biological Dynamics, Volume 13, Issue 1 (2019)

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Journal of Biological Dynamics, Volume 13, Issue 1 (2019)

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Articles

Article
Dengue transmission: mathematical model with discrete time delays and estimation of the reproduction number
Chunqing Wu & Patricia J. Y. Wong
Pages: 1-25
Published online: 08 Jan 2019
AbstractforDengue transmission: mathematical model with discrete time delays and estimation of the reproduction number | Full Text | References | PDF (2 MB)
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Article
Mathematical model to assess vaccination and effective contact rate impact in the spread of tuberculosis
Leontine Nkague Nkamba, Thomas Timothee Manga, Franklin Agouanet & Martin Luther Mann Manyombe
Pages: 26-42
Published online: 09 Jan 2019
AbstractforMathematical model to assess vaccination and effective contact rate impact in the spread of tuberculosis | Full Text | References | PDF (2 MB)
  • 5432 Views
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Article
Dynamical behaviour of a Lotka–Volterra competitive-competitive–cooperative model with feedback controls and time delays
Changyou Wang, Linrui Li, Qiuyan Zhang & Rui Li
Pages: 43-68
Published online: 24 Jan 2019
AbstractforDynamical behaviour of a Lotka–Volterra competitive-competitive–cooperative model with feedback controls and time delays | Full Text | References | PDF (2.2 MB)
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Article
Global dynamics of an age-structured cholera model with multiple transmissions, saturation incidence and imperfect vaccination
Jiazhe Lin, Rui Xu & Xiaohong Tian
Pages: 69-102
Published online: 29 Jan 2019
AbstractforGlobal dynamics of an age-structured cholera model with multiple transmissions, saturation incidence and imperfect vaccination | Full Text | References | PDF (2.8 MB)
  • 1612 Views
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Article
Difference equations as models of evolutionary population dynamics
J. M. Cushing
Pages: 103-127
Published online: 03 Feb 2019
AbstractforDifference equations as models of evolutionary population dynamics | Full Text | References | PDF (2.6 MB)
  • 4572 Views
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Article
The balance simplex in non-competitive 2-species scaled Lotka–Volterra systems
Atheeta Ching & Stephen Baigent
Pages: 128-147
Published online: 06 Feb 2019
AbstractforThe balance simplex in non-competitive 2-species scaled Lotka–Volterra systems | Full Text | References | PDF (2.3 MB)
  • 1051 Views
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Article
A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity
Hidekazu Yoshioka
Pages: 148-176
Published online: 06 Feb 2019
AbstractforA simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity | Full Text | References | PDF (2.7 MB)
  • 1495 Views
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Article
Consumer-resource coexistence as a means of reducing infectious disease
Kevin J. Duffy & Obiora C. Collins
Pages: 177-191
Published online: 14 Feb 2019
AbstractforConsumer-resource coexistence as a means of reducing infectious disease | Full Text | References | PDF (1.9 MB)
  • 1064 Views
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Article
Modelling the dynamics of direct and pathogens-induced dysentery diarrhoea epidemic with controls
Hailay Weldegiorgis Berhe, Oluwole Daniel Makinde & David Mwangi Theuri
Pages: 192-217
Published online: 07 Mar 2019
AbstractforModelling the dynamics of direct and pathogens-induced dysentery diarrhoea epidemic with controls | Full Text | References | PDF (2.2 MB)
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Article
Dynamical analysis of an integrated pest management predator–prey model with weak Allee effect
Tingting Yu, Yuan Tian, Hongjian Guo & Xinyu Song
Pages: 218-244
Published online: 19 Mar 2019
AbstractforDynamical analysis of an integrated pest management predator–prey model with weak Allee effect | Full Text | References | PDF (4 MB)
  • 1654 Views
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Article
Analysis of a negative binomial host–parasitoid model with two maturation delays and impulsive resource input
Mingzhan Huang, Shouzong Liu, Dashun Xu, Xinyu Song & Juan Wang
Pages: 245-268
Published online: 19 Mar 2019
AbstractforAnalysis of a negative binomial host–parasitoid model with two maturation delays and impulsive resource input | Full Text | References | PDF (2.4 MB)
  • 950 Views
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Article
Oscillatory regimes in a mosquito population model with larval feedback on egg hatching
Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet, Luis Almeida, Benoît Perthame & Daniel A. M. Villela
Pages: 269-300
Published online: 03 May 2019
AbstractforOscillatory regimes in a mosquito population model with larval feedback on egg hatching | Full Text | References | PDF (3 MB)
  • 1266 Views
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Article
Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect
Amar Sha, Sudip Samanta, Maia Martcheva & Joydev Chattopadhyay
Pages: 301-327
Published online: 03 May 2019
AbstractforBackward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect | Full Text | References | PDF (3.4 MB)
  • 2488 Views
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Article
A stochastic model for the transmission dynamics of hepatitis B virus
Tahir Khan, II Hyo Jung & Gul Zaman
Pages: 328-344
Published online: 05 Apr 2019
AbstractforA stochastic model for the transmission dynamics of hepatitis B virus | Full Text | References | PDF (1.4 MB)
  • 1855 Views
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Article
Stochastic models in seed dispersals: random walks and birth–death processes
A. Abdullahi, S. Shohaimi, A. Kilicman & M. H. Ibrahim
Pages: 345-361
Published online: 05 May 2019
AbstractforStochastic models in seed dispersals: random walks and birth–death processes | Full Text | References | PDF (2 MB)
  • 1895 Views
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Article
Hopf bifurcation of an age-structured HIV infection model with logistic target-cell growth
Zhong-Kai Guo, Hai-Feng Huo & Hong Xiang
Pages: 362-384
Published online: 09 May 2019
AbstractforHopf bifurcation of an age-structured HIV infection model with logistic target-cell growth | Full Text | References | PDF (2.3 MB)
  • 1258 Views
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Article
On hybrid stochastic population models with impulsive perturbations
Guixin Hu & Kuanhou Tian
Pages: 385-406
Published online: 09 May 2019
AbstractforOn hybrid stochastic population models with impulsive perturbations | Full Text | References | PDF (1.8 MB)
  • 853 Views
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Article
Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls
Changjin Xu, Peiluan Li & Ying Guo
Pages: 407-421
Published online: 10 May 2019
AbstractforGlobal asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls | Full Text | References | PDF (1.2 MB)
  • 971 Views
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Article
Population model for the decline of Homalodisca vitripennis (Hemiptera: Cicadellidae) over a ten-year period
H. T. Banks, John E. Banks, Natalie G. Cody, Mark S. Hoddle & Annabel E. Meade
Pages: 422-446
Published online: 15 May 2019
AbstractforPopulation model for the decline of Homalodisca vitripennis (Hemiptera: Cicadellidae) over a ten-year period | Full Text | References | PDF (4.9 MB)
  • 1117 Views
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Article
Optimal control of a delayed smoking model with immigration
Caixia Sun & Jianwen Jia
Pages: 447-460
Published online: 12 Jun 2019
AbstractforOptimal control of a delayed smoking model with immigration | Full Text | References | PDF (1.1 MB)
  • 1389 Views
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Article
Bifurcation analysis for a delayed SEIR epidemic model with saturated incidence and saturated treatment function
Juan Liu
Pages: 461-480
Published online: 25 Jun 2019
AbstractforBifurcation analysis for a delayed SEIR epidemic model with saturated incidence and saturated treatment function | Full Text | References | PDF (2.2 MB)
  • 2289 Views
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Article
Bifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response
Qamar Din, M. Sajjad Shabbir, M. Asif Khan & Khalil Ahmad
Pages: 481-501
Published online: 09 Jul 2019
AbstractforBifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response | Full Text | References | PDF (3.5 MB)
  • 1950 Views
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Article
Dynamic modelling of the impact of public health education on the control of emerging infectious disease
Guihua Li & Yijing Dong
Pages: 502-517
Published online: 09 Jul 2019
AbstractforDynamic modelling of the impact of public health education on the control of emerging infectious disease | Full Text | References | PDF (1.7 MB)
  • 1758 Views
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Article
A model of insect control with imperfect treatment
Bismark Oduro, Mario J. Grijalva & Winfried Just
Pages: 518-537
Published online: 10 Jul 2019
AbstractforA model of insect control with imperfect treatment | Full Text | References | PDF (1.9 MB)
  • 939 Views
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Article
Methods for deriving necessary and sufficient conditions for backward bifurcation
Maia Martcheva
Pages: 538-566
Published online: 31 Jul 2019
AbstractforMethods for deriving necessary and sufficient conditions for backward bifurcation | Full Text | References | PDF (2 MB)
  • 3334 Views
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Article
Epidemic dynamics with a time-varying susceptibility due to repeated infections
Yukihiko Nakata & Ryosuke Omori
Pages: 567-585
Published online: 01 Aug 2019
AbstractforEpidemic dynamics with a time-varying susceptibility due to repeated infections | Full Text | References | PDF (1.8 MB)
  • 1107 Views
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Article
IPM strategies to a discrete switching predator-prey model induced by a mate-finding Allee effect
Wenjie Qin, Xuewen Tan, Xiaotao Shi & Changcheng Xiang
Pages: 586-605
Published online: 05 Nov 2019
AbstractforIPM strategies to a discrete switching predator-prey model induced by a mate-finding Allee effect | Full Text | References | PDF (7.7 MB)
  • 744 Views
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Article
Dynamics of interactive wild and sterile mosquitoes with time delay
Jianshe Yu & Jia Li
Pages: 606-620
Published online: 25 Oct 2019
AbstractforDynamics of interactive wild and sterile mosquitoes with time delay | Full Text | References | PDF (1.3 MB)
  • 1370 Views
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Article
Analysis of the SAITS alcoholism model on scale-free networks with demographic and nonlinear infectivity
Hong Xiang, Fang-Fang Cui & Hai-Feng Huo
Pages: 621-638
Published online: 05 Nov 2019
AbstractforAnalysis of the SAITS alcoholism model on scale-free networks with demographic and nonlinear infectivity | Full Text | References | PDF (2.5 MB)
  • 542 Views
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Article
Global stability of discrete virus dynamics models with humoural immunity and latency
A. M. Elaiw & M. A. Alshaikh
Pages: 639-674
Published online: 05 Nov 2019
AbstractforGlobal stability of discrete virus dynamics models with humoural immunity and latency | Full Text | References | PDF (3.1 MB)
  • 695 Views
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Article
Global dynamics of a tuberculosis model with fast and slow progression and age-dependent latency and infection
Rui Xu, Junyuan Yang, Xiaohong Tian & Jiazhe Lin
Pages: 675-705
Published online: 01 Nov 2019
AbstractforGlobal dynamics of a tuberculosis model with fast and slow progression and age-dependent latency and infection | Full Text | References | PDF (2.1 MB)
  • 1252 Views
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Article
Stochastic optimal switching model for migrating population dynamics
Hidekazu Yoshioka, Tomomi Tanaka, Futoshi Aranishi, Tomoki Izumi & Masayuki Fujihara
Pages: 706-732
Published online: 08 Nov 2019
AbstractforStochastic optimal switching model for migrating population dynamics | Full Text | References | PDF (2.6 MB)
  • 1186 Views
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Article
Backward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects
Yuxiao Guo, Ben Niu & Jianjun Paul Tian
Pages: 733-748
Published online: 18 Sep 2019
AbstractforBackward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects | Full Text | References | PDF (1.8 MB)
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Corrections

Correction
Correction
Page: 749
Published online: 14 Nov 2019
CitationforCorrection | Full Text | PDF (104.4 KB)
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