Journal of Biological Dynamics, Volume 16, Issue 1 (2022)

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Journal of Biological Dynamics, Volume 16, Issue 1 (2022)

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Research Article

Article
Hopf bifurcation in delayed nutrient-microorganism model with network structure
Mengxin Chen, Qianqian Zheng, Ranchao Wu & Liping Chen
Pages: 1-13
Published online: 10 Jan 2022
AbstractforHopf bifurcation in delayed nutrient-microorganism model with network structure | Full Text | References | PDF (1.8 MB)
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Article
Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China
Xi-Chao Duan, Xue-Zhi Li, Maia Martcheva & Sanling Yuan
Pages: 14-28
Published online: 07 Jan 2022
AbstractforUsing an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China | Full Text | References | PDF (2.1 MB)
  • 2307 Views
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Article
Bacteria–bacteriophage cycles facilitate Cholera outbreak cycles: an indirect Susceptible-Infected-Recovered-Bacteria- Phage (iSIRBP) model-based mathematical study
Asma Al Habees, Eman Aldabbas, Nicola L. Bragazzi & Jude D. Kong
Pages: 29-43
Published online: 07 Jan 2022
AbstractforBacteria–bacteriophage cycles facilitate Cholera outbreak cycles: an indirect Susceptible-Infected-Recovered-Bacteria- Phage (iSIRBP) model-based mathematical study | Full Text | References | PDF (1.6 MB)
  • 2083 Views
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Article
Dynamics and control strategy for a delayed viral infection model
Suxia Zhang, Fei Li & Xiaxia Xu
Pages: 44-63
Published online: 25 Jan 2022
AbstractforDynamics and control strategy for a delayed viral infection model | Full Text | References | PDF (1.9 MB)
  • 1610 Views
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Article
Dynamic analysis and optimal control of a class of SISP respiratory diseases
Lei Shi & Longxing Qi
Pages: 64-97
Published online: 07 Feb 2022
AbstractforDynamic analysis and optimal control of a class of SISP respiratory diseases | Full Text | References | PDF (4.8 MB)
  • 1450 Views
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Article
A mathematical model for tilapia lake virus transmission with waning immunity
Cyrille Kenne, Pascal Zongo & René Dorville
Pages: 98-116
Published online: 07 Feb 2022
AbstractforA mathematical model for tilapia lake virus transmission with waning immunity | Full Text | References | PDF (1.8 MB)
  • 1594 Views
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Open Access
Article
Persistence and extinction of a modified Leslie–Gower Holling-type II two-predator one-prey model with Lévy jumps
Yongxin Gao & Fan Yang
Pages: 117-143
Published online: 14 Mar 2022
AbstractforPersistence and extinction of a modified Leslie–Gower Holling-type II two-predator one-prey model with Lévy jumps | Full Text | References | PDF (4 MB)
  • 1042 Views
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Article
The effect of spatial dynamics on the behaviour of an environmentally transmitted disease
Ivy J. Hindle, Lawrence K. Forbes & Scott Carver
Pages: 144-159
Published online: 11 Apr 2022
AbstractforThe effect of spatial dynamics on the behaviour of an environmentally transmitted disease | Full Text | References | PDF (1.6 MB)
  • 1128 Views
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Article
Comparison of classical tumour growth models for patient derived and cell-line derived xenografts using the nonlinear mixed-effects framework
Dimitrios Voulgarelis, Krishna C. Bulusu & James W. T. Yates
Pages: 160-185
Published online: 11 Apr 2022
AbstractforComparison of classical tumour growth models for patient derived and cell-line derived xenografts using the nonlinear mixed-effects framework | Full Text | References | PDF (5.6 MB) | Supplemental
  • 2143 Views
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Open Access
Article
Dynamics of autotroph–mixotroph interactions with the intraguild predation structure
Ming Chen, Jimin Zhang & Satlykova Ejegul
Pages: 186-206
Published online: 25 Apr 2022
AbstractforDynamics of autotroph–mixotroph interactions with the intraguild predation structure | Full Text | References | PDF (2 MB)
  • 826 Views
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Article
Viability of Pentadesma in reduced habitat ecosystems within two climatic regions with fruit harvesting
Maria C. A. Leite, Benito Chen-Charpentier, Folashade B. Agusto, Orou G. Gaoue & Natali Hritonenko
Pages: 207-235
Published online: 09 May 2022
AbstractforViability of Pentadesma in reduced habitat ecosystems within two climatic regions with fruit harvesting | Full Text | References | PDF (3.3 MB)
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Open Access

Tianyuan Hengyang Workshop 2020

Article
Impact of information and Lévy noise on stochastic COVID-19 epidemic model under real statistical data
Peijiang Liu, Lifang Huang, Anwarud Din & Xiangxiang Huang
Pages: 236-253
Published online: 26 Mar 2022
AbstractforImpact of information and Lévy noise on stochastic COVID-19 epidemic model under real statistical data | Full Text | References | PDF (1.7 MB)
  • 1099 Views
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Open Access
Article
Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model
Rong Yan & Qiwen Sun
Pages: 254-276
Published online: 15 Feb 2022
AbstractforUniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model | Full Text | References | PDF (2.1 MB)
  • 956 Views
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Open Access
Article
Existence and stability of two periodic solutions for an interactive wild and sterile mosquitoes model
Zhongcai Zhu, Rong Yan & Xiaomei Feng
Pages: 277-293
Published online: 10 Jan 2022
AbstractforExistence and stability of two periodic solutions for an interactive wild and sterile mosquitoes model | Full Text | References | PDF (1.7 MB)
  • 1152 Views
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Article
The blood-stage dynamics of malaria infection with immune response
Jian Liu, Zhiming Guo & Hongpeng Guo
Pages: 294-319
Published online: 22 Dec 2021
AbstractforThe blood-stage dynamics of malaria infection with immune response | Full Text | References | PDF (2.9 MB)
  • 1158 Views
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Open Access
Article
Discrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios
Yantao Shi & Bo Zheng
Pages: 320-339
Published online: 17 Sep 2021
AbstractforDiscrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios | Full Text | References | PDF (1.9 MB)
  • 1491 Views
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Open Access
Article
Speed determinacy of travelling waves for a three-component lattice Lotka–Volterra competition system
Y. Tang, C. Pan, H. Wang & Z. Ouyang
Pages: 340-353
Published online: 28 Jul 2021
AbstractforSpeed determinacy of travelling waves for a three-component lattice Lotka–Volterra competition system | Full Text | References | PDF (1.1 MB)
  • 931 Views
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Open Access
Article
The state-dependent impulsive control for a general predator–prey model
Xiaoxiao Zhu, Huilan Wang & Zigen Ouyang
Pages: 354-372
Published online: 05 Jun 2021
AbstractforThe state-dependent impulsive control for a general predator–prey model | Full Text | References | PDF (1.7 MB)
  • 1054 Views
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Open Access
Article
Dynamics in a reaction-diffusion epidemic model via environmental driven infection in heterogenous space
Ning Wang, Long Zhang & Zhidong Teng
Pages: 373-396
Published online: 16 Mar 2021
AbstractforDynamics in a reaction-diffusion epidemic model via environmental driven infection in heterogenous space | Full Text | References | PDF (1.8 MB)
  • 2990 Views
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Open Access
Article
Stability and Hopf bifurcation of HIV-1 model with Holling II infection rate and immune delay
Maoxin Liao, Yanjin Liu, Shinan Liu & Ali M. Meyad
Pages: 397-411
Published online: 08 Mar 2021
AbstractforStability and Hopf bifurcation of HIV-1 model with Holling II infection rate and immune delay | Full Text | References | PDF (1.2 MB)
  • 1527 Views
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Open Access

Research Article

Article
Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic
Necibe Tuncer, Archana Timsina, Miriam Nuno, Gerardo Chowell & Maia Martcheva
Pages: 412-438
Published online: 30 May 2022
AbstractforParameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic | Full Text | References | PDF (3 MB)
  • 1726 Views
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Open Access
Article
Mathematical modelling of echinococcosis in human, dogs and sheep with intervention
Birhan Getachew Bitew, Justin Manango W. Munganga & Adamu Shitu Hassan
Pages: 439-463
Published online: 30 May 2022
AbstractforMathematical modelling of echinococcosis in human, dogs and sheep with intervention | Full Text | References | PDF (2.2 MB)
  • 1296 Views
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Open Access
Article
Dynamics analysis of stage-structured wild and sterile mosquito interaction impulsive model
Yiyou Pang, Shuai Wang & Siyu Liu
Pages: 464-479
Published online: 02 Jun 2022
AbstractforDynamics analysis of stage-structured wild and sterile mosquito interaction impulsive model | Full Text | References | PDF (1.2 MB)
  • 1144 Views
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Article
Stability of a fear effect predator–prey model with mutual interference or group defense
Mengxin He & Zhong Li
Pages: 480-498
Published online: 27 Jun 2022
AbstractforStability of a fear effect predator–prey model with mutual interference or group defense | Full Text | References | PDF (1.8 MB)
  • 1911 Views
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Article
Analysing transmission dynamics of HIV/AIDS with optimal control strategy and its controlled state
Rinlapas Wattanasirikosone & Chairat Modnak
Pages: 499-527
Published online: 08 Jul 2022
AbstractforAnalysing transmission dynamics of HIV/AIDS with optimal control strategy and its controlled state | Full Text | References | PDF (2.6 MB)
  • 1716 Views
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Open Access
Article
Modeling malaria transmission in Nepal: impact of imported cases through cross-border mobility
Ramesh Gautam, Anjana Pokharel, Khagendra Adhikari, Kedar Nath Uprety & Naveen K. Vaidya
Pages: 528-564
Published online: 14 Jul 2022
AbstractforModeling malaria transmission in Nepal: impact of imported cases through cross-border mobility | Full Text | References | PDF (4.1 MB) | Supplemental
  • 2038 Views
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Article
Dynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden
Ruimin Zhang, Xiaohui Liu & Chunjin Wei
Pages: 565-584
Published online: 18 Jul 2022
AbstractforDynamic analysis of stochastic delay mutualistic system of leaf-cutter ants with stage structure and their fungus garden | Full Text | References | PDF (2.2 MB)
  • 633 Views
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Article
Control analysis of virotherapy chaotic system
Javaria Iqbal, Salman Ahmad, Muhammad Marwan & Ayesha Rafiq
Pages: 585-595
Published online: 27 Jul 2022
AbstractforControl analysis of virotherapy chaotic system | Full Text | References | PDF (1.4 MB)
  • 1392 Views
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Article
Dynamics of an SIRWS model with waning of immunity and varying immune boosting period
Richmond Opoku-Sarkodie, Ferenc A. Bartha, Mónika Polner & Gergely Röst
Pages: 596-618
Published online: 09 Aug 2022
AbstractforDynamics of an SIRWS model with waning of immunity and varying immune boosting period | Full Text | References | PDF (3.3 MB)
  • 1180 Views
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Open Access
Article
Recurrent epidemic waves in a delayed epidemic model with quarantine
Toshikazu Kuniya
Pages: 619-639
Published online: 11 Aug 2022
AbstractforRecurrent epidemic waves in a delayed epidemic model with quarantine | Full Text | References | PDF (1.8 MB)
  • 906 Views
  • 1 CrossRef citations
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Open Access
Article
Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies
Shewafera Wondimagegnhu Teklu
Pages: 640-664
Published online: 16 Aug 2022
AbstractforMathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies | Full Text | References | PDF (2.2 MB)
  • 2330 Views
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Article
Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis
Vijay Pal Bajiya, Sarita Bugalia, Jai Prakash Tripathi & Maia Martcheva
Pages: 665-712
Published online: 13 Sep 2022
AbstractforDeciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis | Full Text | References | PDF (4.9 MB)
  • 1564 Views
  • 1 CrossRef citations
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Open Access
Article
Analysis of HIV latent infection model with multiple infection stages and different drug classes
Areej Alshorman, Nidal Al-hosainat & Trachette Jackson
Pages: 713-732
Published online: 20 Oct 2022
AbstractforAnalysis of HIV latent infection model with multiple infection stages and different drug classes | Full Text | References | PDF (2.5 MB)
  • 1111 Views
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Open Access
Article
Dynamics of a glucose–insulin model
Mingju Ma & Jun Li
Pages: 733-745
Published online: 17 Nov 2022
AbstractforDynamics of a glucose–insulin model | Full Text | References | PDF (1.2 MB)
  • 2563 Views
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Article
Optimal reduced-mixing for an SIS infectious-disease model
Erin Stafford & Mark Kot
Pages: 746-765
Published online: 22 Nov 2022
AbstractforOptimal reduced-mixing for an SIS infectious-disease model | Full Text | References | PDF (2.1 MB) | Supplemental
  • 769 Views
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Article
Dynamics of a multi-strain malaria model with diffusion in a periodic environment
Yangyang Shi, Hongyong Zhao & Xuebing Zhang
Pages: 766-815
Published online: 22 Nov 2022
AbstractforDynamics of a multi-strain malaria model with diffusion in a periodic environment | Full Text | References | PDF (5.7 MB)
  • 784 Views
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Article
The effects of evolution on the stability of competing species
S. Elaydi, Y. Kang & R. Luís
Pages: 816-839
Published online: 10 Dec 2022
AbstractforThe effects of evolution on the stability of competing species | Full Text | References | PDF (3 MB)
  • 791 Views
  • 1 CrossRef citations
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Article
Dynamical analysis of a modified Leslie–Gower Holling-type II predator-prey stochastic model in polluted environments with interspecific competition and impulsive toxicant input
Yongxin Gao & Shuyuan Yao
Pages: 840-858
Published online: 14 Dec 2022
AbstractforDynamical analysis of a modified Leslie–Gower Holling-type II predator-prey stochastic model in polluted environments with interspecific competition and impulsive toxicant input | Full Text | References | PDF (2.1 MB)
  • 600 Views
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Open Access

Special issue In memory of Fred Brauer

Article
A contact tracing SIR model for randomly mixed populations
Sam Bednarski, Laura L.E. Cowen, Junling Ma, Tanya Philippsen, P. van den Driessche & Manting Wang
Pages: 859-879
Published online: 15 Dec 2022
AbstractforA contact tracing SIR model for randomly mixed populations | Full Text | References | PDF (2.5 MB)
  • 956 Views
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