Journal of Biological Dynamics, Volume 14, Issue 1 (2020)

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Journal of Biological Dynamics, Volume 14, Issue 1 (2020)

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Articles

Article
Stability of a certain class of a host–parasitoid models with a spatial refuge effect
E. Bešo, S. Kalabušić, N. Mujić & E. Pilav
Pages: 1-31
Published online: 02 Dec 2019
AbstractforStability of a certain class of a host–parasitoid models with a spatial refuge effect | Full Text | References | PDF (4.4 MB)
  • 2345 Views
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2019 Guangzhou Workshop

Article
Global dynamics and optimal harvesting in a stochastic two-predators one-prey system with distributed delays and Lévy noise
Nafeisha Tuerxun, Xamxinur Abdurahman & Zhidong Teng
Pages: 32-56
Published online: 02 Jan 2020
AbstractforGlobal dynamics and optimal harvesting in a stochastic two-predators one-prey system with distributed delays and Lévy noise | Full Text | References | PDF (1.7 MB)
  • 1067 Views
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Articles

Article
Game theoretic modelling of infectious disease dynamics and intervention methods: a review
Sheryl L. Chang, Mahendra Piraveenan, Philippa Pattison & Mikhail Prokopenko
Pages: 57-89
Published online: 29 Jan 2020
AbstractforGame theoretic modelling of infectious disease dynamics and intervention methods: a review | Full Text | References | PDF (4.5 MB)
  • 13517 Views
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Article
Modelling malaria dynamics with partial immunity and protected travellers: optimal control and cost-effectiveness analysis
S. Olaniyi, K. O. Okosun, S. O. Adesanya & R. S. Lebelo
Pages: 90-115
Published online: 11 Feb 2020
AbstractforModelling malaria dynamics with partial immunity and protected travellers: optimal control and cost-effectiveness analysis | Full Text | References | PDF (2.3 MB)
  • 3933 Views
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Article
Coinfection dynamics of heroin transmission and HIV infection in a single population
Xi-Chao Duan, Xue-Zhi Li & Maia Martcheva
Pages: 116-142
Published online: 17 Feb 2020
AbstractforCoinfection dynamics of heroin transmission and HIV infection in a single population | Full Text | References | PDF (2 MB)
  • 1312 Views
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Article
A generalized within-host model of dengue infection with a non-constant monocyte production rate
Jeremy J. Thibodeaux, Daniel Nuñez & Andres Rivera
Pages: 143-161
Published online: 02 Mar 2020
AbstractforA generalized within-host model of dengue infection with a non-constant monocyte production rate | Full Text | References | PDF (2 MB)
  • 1238 Views
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Article
Global dynamics for a model of amyloid fibril formation in pancreatic islet beta cells subjected to a therapy
Rodrigue Yves M'pika Massoukou, Suares Clovis Oukouomi Noutchie & Nana Adjoah Mbroh
Pages: 162-186
Published online: 04 Mar 2020
AbstractforGlobal dynamics for a model of amyloid fibril formation in pancreatic islet beta cells subjected to a therapy | Full Text | References | PDF (1.7 MB)
  • 980 Views
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Article
Balance simplices of 3-species May-Leonard systems
Stephen Baigent & Atheeta Ching
Pages: 187-199
Published online: 09 Mar 2020
AbstractforBalance simplices of 3-species May-Leonard systems | Full Text | References | PDF (1.9 MB)
  • 915 Views
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Article
Dynamical analysis on a predator–prey model with stage structure and mutual interference
Xinzhe Zhang, Gang Huang & Yueping Dong
Pages: 200-221
Published online: 10 Mar 2020
AbstractforDynamical analysis on a predator–prey model with stage structure and mutual interference | Full Text | References | PDF (2.5 MB)
  • 1106 Views
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Article
The competition model with Holling type II competitive response to interfering time
Hamlet Castillo-Alvino & Marcos Marvá
Pages: 222-244
Published online: 08 Apr 2020
AbstractforThe competition model with Holling type II competitive response to interfering time | Full Text | References | PDF (2.7 MB)
  • 1413 Views
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Article
Onchocerciasis dynamics: modelling the effects of treatment, education and vector control
Asha Hassan & Nyimvua Shaban
Pages: 245-268
Published online: 08 Apr 2020
AbstractforOnchocerciasis dynamics: modelling the effects of treatment, education and vector control | Full Text | References | PDF (2.6 MB)
  • 1892 Views
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2019 Guangzhou Workshop

Article
Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate
Yanxiang Shi
Pages: 269-288
Published online: 13 Apr 2020
AbstractforMelnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate | Full Text | References | PDF (2 MB)
  • 1073 Views
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Article
Impulsive releases of sterile mosquitoes and interactive dynamics with time delay
Jia Li & Shangbing Ai
Pages: 289-307
Published online: 17 Apr 2020
AbstractforImpulsive releases of sterile mosquitoes and interactive dynamics with time delay | Full Text | References | PDF (1.7 MB)
  • 1156 Views
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Articles

Article
Age structured discrete-time disease models with demographic population cycles
P. van den Driessche & Abdul-Aziz Yakubu
Pages: 308-331
Published online: 17 Apr 2020
AbstractforAge structured discrete-time disease models with demographic population cycles | Full Text | References | PDF (2.3 MB)
  • 1493 Views
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Article
Asymptotic analysis of a vector-borne disease model with the age of infection
Xia Wang, Yuming Chen, Maia Martcheva & Libin Rong
Pages: 332-367
Published online: 23 Apr 2020
AbstractforAsymptotic analysis of a vector-borne disease model with the age of infection | Full Text | References | PDF (2.4 MB)
  • 1668 Views
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2019 Guangzhou Workshop

Article
Backward bifurcation in a malaria transmission model
Yanyuan Xing, Zhiming Guo & Jian Liu
Pages: 368-388
Published online: 28 May 2020
AbstractforBackward bifurcation in a malaria transmission model | Full Text | References | PDF (1.8 MB)
  • 1935 Views
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Articles

Article
The role of asymptomatic class, quarantine and isolation in the transmission of COVID-19
Mohsin Ali, Syed Touqeer H. Shah, Mudassar Imran & Adnan Khan
Pages: 389-408
Published online: 05 Jun 2020
AbstractforThe role of asymptomatic class, quarantine and isolation in the transmission of COVID-19 | Full Text | References | PDF (2.5 MB)
  • 6800 Views
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Article
Global stability analysis for a model with carriers and non-linear incidence rate
Miller Cerón Gómez, Eduardo Ibarguen Mondragon & Patricia Lopez Molano
Pages: 409-420
Published online: 05 Jun 2020
AbstractforGlobal stability analysis for a model with carriers and non-linear incidence rate | Full Text | References | PDF (1.1 MB)
  • 1516 Views
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2019 Guangzhou Workshop

Article
Global stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response
Dingyong Bai, Jinshui Li & Wenrui Zeng
Pages: 421-437
Published online: 05 Jun 2020
AbstractforGlobal stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response | Full Text | References | PDF (1.6 MB)
  • 779 Views
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Corrections

Correction
Correction
Page: 438
Published online: 08 Jun 2020
CitationforCorrection | Full Text | PDF (106.8 KB)
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Correction
Correction
Page: 439
Published online: 08 Jun 2020
CitationforCorrection | Full Text | PDF (106.2 KB)
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Articles

Article
Chaotic attractors in Atkinson–Allen model of four competing species
Mats Gyllenberg, Jifa Jiang & Lei Niu
Pages: 440-453
Published online: 19 Jun 2020
AbstractforChaotic attractors in Atkinson–Allen model of four competing species | Full Text | References | PDF (2.6 MB)
  • 743 Views
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Article
Discrete evolutionary population models: a new approach
Karima Mokni, Saber Elaydi, Mohamed CH-Chaoui & Amina Eladdadi
Pages: 454-478
Published online: 26 Jun 2020
AbstractforDiscrete evolutionary population models: a new approach | Full Text | References | PDF (2.1 MB)
  • 1825 Views
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Article
A comparative analysis of host–parasitoid models with density dependence preceding parasitism
Kelsey Marcinko & Mark Kot
Pages: 479-514
Published online: 30 Jun 2020
AbstractforA comparative analysis of host–parasitoid models with density dependence preceding parasitism | Full Text | References | PDF (4.3 MB)
  • 1357 Views
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Article
A Wolbachia infection model with free boundary
Yunfeng Liu, Zhiming Guo, Mohammad El Smaily & Lin Wang
Pages: 515-542
Published online: 29 Jun 2020
AbstractforA Wolbachia infection model with free boundary | Full Text | References | PDF (1.9 MB)
  • 1037 Views
  • 6 CrossRef citations
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Article
A Lyapunov–Schmidt method for detecting backward bifurcation in age-structured population models
Maia Martcheva & Hisashi Inaba
Pages: 543-565
Published online: 02 Jul 2020
AbstractforA Lyapunov–Schmidt method for detecting backward bifurcation in age-structured population models | Full Text | References | PDF (1.5 MB)
  • 1228 Views
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Article
Mathematical model for diffusion of the rhizosphere microbial degradation with impulsive feedback control
Zhong Zhao, Ying Chen, Qiuying Li & Xianbin Wu
Pages: 566-577
Published online: 07 Jul 2020
AbstractforMathematical model for diffusion of the rhizosphere microbial degradation with impulsive feedback control | Full Text | References | PDF (1.7 MB)
  • 756 Views
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2019 Guangzhou Workshop

Article
Stability analysis in a mosquito population suppression model
Genghong Lin & Yuanxian Hui
Pages: 578-589
Published online: 16 Jul 2020
AbstractforStability analysis in a mosquito population suppression model | Full Text | References | PDF (1.2 MB)
  • 1116 Views
  • 14 CrossRef citations
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Articles

Article
Optimal control strategies for the transmission risk of COVID-19
Legesse Lemecha Obsu & Shiferaw Feyissa Balcha
Pages: 590-607
Published online: 22 Jul 2020
AbstractforOptimal control strategies for the transmission risk of COVID-19 | Full Text | References | PDF (1.6 MB)
  • 5622 Views
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2019 Guangzhou Workshop

Article
Bistable wave speed of the Lotka-Volterra competition model
Manjun Ma, Qiming Zhang, Jiajun Yue & Chunhua Ou
Pages: 608-620
Published online: 24 Jul 2020
AbstractforBistable wave speed of the Lotka-Volterra competition model | Full Text | References | PDF (1 MB)
  • 998 Views
  • 7 CrossRef citations
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Articles

Article
Effects of age-targeted sequestration for COVID-19
Alastair Jamieson-Lane & Eric Cytrynbaum
Pages: 621-632
Published online: 27 Jul 2020
AbstractforEffects of age-targeted sequestration for COVID-19 | Full Text | References | PDF (2 MB)
  • 1654 Views
  • 2 CrossRef citations
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2019 Guangzhou Workshop

Article
Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
Chuangxia Huang, Renli Su & Yuhui Hu
Pages: 633-655
Published online: 03 Aug 2020
AbstractforGlobal convergence dynamics of almost periodic delay Nicholson's blowflies systems | Full Text | References | PDF (1.7 MB)
  • 583 Views
  • 5 CrossRef citations
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Article
Modeling the suppression dynamics of Aedes mosquitoes with mating inhomogeneity
Mugen Huang & Linchao Hu
Pages: 656-678
Published online: 04 Aug 2020
AbstractforModeling the suppression dynamics of Aedes mosquitoes with mating inhomogeneity | Full Text | References | PDF (2.8 MB)
  • 981 Views
  • 3 CrossRef citations
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Article
Wolbachia infection enhancing and decaying domains in mosquito population based on discrete models
Yantao Shi & Jianshe Yu
Pages: 679-695
Published online: 12 Aug 2020
AbstractforWolbachia infection enhancing and decaying domains in mosquito population based on discrete models | Full Text | References | PDF (1.4 MB)
  • 1080 Views
  • 16 CrossRef citations
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Articles

Article
Stochastic control of single-species population dynamics model subject to jump ambiguity
Hidekazu Yoshioka & Motoh Tsujimura
Pages: 696-729
Published online: 26 Aug 2020
AbstractforStochastic control of single-species population dynamics model subject to jump ambiguity | Full Text | References | PDF (3.7 MB)
  • 945 Views
  • 5 CrossRef citations
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Article
Analysis and prediction of the COVID-19 outbreak in Pakistan
Mohsin Ali, Mudassar Imran & Adnan Khan
Pages: 730-747
Published online: 02 Sep 2020
AbstractforAnalysis and prediction of the COVID-19 outbreak in Pakistan | Full Text | References | PDF (2 MB)
  • 5806 Views
  • 4 CrossRef citations
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Article
Mathematical modelling on COVID-19 transmission impacts with preventive measures: a case study of Tanzania
Abdul-rahman J. Mumbu & Alfred K. Hugo
Pages: 748-766
Published online: 29 Sep 2020
AbstractforMathematical modelling on COVID-19 transmission impacts with preventive measures: a case study of Tanzania | Full Text | References | PDF (1.9 MB)
  • 4729 Views
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2019 Guangzhou Workshop

Article
Mathematical modelling for scarlet fever with direct and indirect infections
Haonan Zhong & Wendi Wang
Pages: 767-787
Published online: 16 Oct 2020
AbstractforMathematical modelling for scarlet fever with direct and indirect infections | Full Text | References | PDF (1.9 MB)
  • 1168 Views
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Articles

Article
A stochastic SACR epidemic model for HBV transmission
Amir Khan, Ghulam Hussain, Mostafa Zahri, Gul Zaman & Usa Wannasingha Humphries
Pages: 788-801
Published online: 19 Oct 2020
AbstractforA stochastic SACR epidemic model for HBV transmission | Full Text | References | PDF (1.3 MB)
  • 1287 Views
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2019 Guangzhou Workshop

Article
A delayed HIV-1 model with cell-to-cell spread and virus waning
Bing Li & Feng Jiao
Pages: 802-825
Published online: 21 Oct 2020
AbstractforA delayed HIV-1 model with cell-to-cell spread and virus waning | Full Text | References | PDF (2.7 MB)
  • 748 Views
  • 1 CrossRef citations
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Research Article

Article
Dynamical analysis of a delayed diffusive predator–prey model with schooling behaviour and Allee effect
Xin-You Meng & Jiao-Guo Wang
Pages: 826-848
Published online: 23 Nov 2020
AbstractforDynamical analysis of a delayed diffusive predator–prey model with schooling behaviour and Allee effect | Full Text | References | PDF (3.4 MB)
  • 865 Views
  • 11 CrossRef citations
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Article
Evaluating different epidemiological models with the identical basic reproduction number ℛ0
Fan Bai
Pages: 849-870
Published online: 30 Nov 2020
AbstractforEvaluating different epidemiological models with the identical basic reproduction number ℛ0 | Full Text | References | PDF (2.1 MB)
  • 1041 Views
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2019 Guangzhou Workshop

Article
Survival analysis of a stochastic predator–prey model with prey refuge and fear effect
Yixiu Xia & Sanling Yuan
Pages: 871-892
Published online: 03 Dec 2020
AbstractforSurvival analysis of a stochastic predator–prey model with prey refuge and fear effect | Full Text | References | PDF (2.4 MB)
  • 1062 Views
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