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Mathematical Modeling and Analysis of Populations and Infectious Diseases

Created 24 May 2021| Updated 01 Jun 2021 | 14 articles

This is a collection of articles published in Journal of Biological Dynamics in Volumes 14-15 (2020-2021) which derived from the 2019 Guangzhou Workshop.

Edited by

Dr. Jia Li(Department of Mathematical Sciences, The University of Alabama in Huntsville, USA)

Prof. Jianshe Yu(Research Center of Applied Mathematics, Guangzhou University, China)

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Article
A stochastic predator–prey model with Holling II increasing function in the predator
Youlin Huang, Wanying Shi, Chunjin Wei & Shuwen Zhang

Originally published in Journal of Biological Dynamics, Volume: 15, Number: 1 (01 Jan 2021)

Published online: 24 Dec 2020
AbstractforA stochastic predator–prey model with Holling II increasing function in the predator | Full Text | References | PDF (1.7 MB)
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Article
Survival analysis of a stochastic predator–prey model with prey refuge and fear effect
Yixiu Xia & Sanling Yuan

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

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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Article
A delayed HIV-1 model with cell-to-cell spread and virus waning
Bing Li & Feng Jiao

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

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)
  • 743 Views
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Article
Mathematical modelling for scarlet fever with direct and indirect infections
Haonan Zhong & Wendi Wang

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

Published online: 16 Oct 2020
AbstractforMathematical modelling for scarlet fever with direct and indirect infections | Full Text | References | PDF (1.9 MB)
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Article
Wolbachia infection enhancing and decaying domains in mosquito population based on discrete models
Yantao Shi & Jianshe Yu

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

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
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Article
Modeling the suppression dynamics of Aedes mosquitoes with mating inhomogeneity
Mugen Huang & Linchao Hu

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

Published online: 04 Aug 2020
AbstractforModeling the suppression dynamics of Aedes mosquitoes with mating inhomogeneity | Full Text | References | PDF (2.8 MB)
  • 981 Views
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Article
Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
Chuangxia Huang, Renli Su & Yuhui Hu

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

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
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Article
Bistable wave speed of the Lotka-Volterra competition model
Manjun Ma, Qiming Zhang, Jiajun Yue & Chunhua Ou

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

Published online: 24 Jul 2020
AbstractforBistable wave speed of the Lotka-Volterra competition model | Full Text | References | PDF (1 MB)
  • 998 Views
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Article
Stability analysis in a mosquito population suppression model
Genghong Lin & Yuanxian Hui

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

Published online: 16 Jul 2020
AbstractforStability analysis in a mosquito population suppression model | Full Text | References | PDF (1.2 MB)
  • 1116 Views
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Article
Global stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response
Dingyong Bai, Jinshui Li & Wenrui Zeng

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

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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Article
Backward bifurcation in a malaria transmission model
Yanyuan Xing, Zhiming Guo & Jian Liu

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

Published online: 28 May 2020
AbstractforBackward bifurcation in a malaria transmission model | Full Text | References | PDF (1.8 MB)
  • 1934 Views
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Article
Impulsive releases of sterile mosquitoes and interactive dynamics with time delay
Jia Li & Shangbing Ai

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

Published online: 17 Apr 2020
AbstractforImpulsive releases of sterile mosquitoes and interactive dynamics with time delay | Full Text | References | PDF (1.7 MB)
  • 1154 Views
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Article
Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate
Yanxiang Shi

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

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)
  • 1071 Views
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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

Originally published in Journal of Biological Dynamics, Volume: 14, Number: 1 (01 Jan 2020)

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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