Dynamics analysis of a diffusive SIRI epidemic system under logistic source and general incidence rate

Li, Wenjie; Li, Guodong; Cao, Jinde; Xu, Fei

doi:10.1016/j.cnsns.2023.107675

Communications in Nonlinear Science and Numerical Simulation

2024

DOI: 10.1016/j.cnsns.2023.107675

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Dynamics analysis of a diffusive SIRI epidemic system under logistic source and general incidence rate

Wenjie Li,

Guodong Li,

Jinde Cao

et al.

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2024

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Cited by 3 publications

References 48 publications

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Dynamics of a linear source epidemic system with diffusion and media impact

Li,

Zhao,

Cao

et al. 2024

Z. Angew. Math. Phys.

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Dynamics of a linear source epidemic system with diffusion and media impact

Li,

Zhao,

Cao

et al. 2024

Z. Angew. Math. Phys.

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Global asymptotic stability of endemic equilibria and stability of traveling waves for a diffusive SIR epidemic model with logistic growth

Shimojo,

Tanaka

2024

J Elliptic Parabol Equ

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This paper deals with the asymptotic behavior of solutions for the diffusive epidemic model with logistic growth. In the first part, we consider the initial boundary value problem on the bounded domain and derive the stabilization of the solutions of the reaction–diffusion system to a constant equilibrium. In the second part, we consider the initial value problem on $${\mathbb {R}},$$ R , and derive the stability of forced waves under certain perturbations of a class of initial data.

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Dynamics analysis of a predator-prey model with Allee effect and harvesting effort

Shao,

Yu,

Jin

et al. 2024

era

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<p>In the paper, a predator-prey model with the Allee effect and harvesting effort was proposed to explore the interaction mechanism between prey and predator. Under the framework of mathematical theory deduction, some conditions for the occurrence of transcritical, saddle-node, Hopf, and Bogdanov-Takens bifurcations were derived with harvesting effort and the Allee effect as key parameters. Under the framework of bifurcation dynamics numerical simulation, the evolution process of specific bifurcation dynamics behavior was gradually visualized to reveal the influence mechanism of the Allee effect and harvesting effort. The research results indicated that the Allee effect and harvesting effort not only seriously affected the bifurcation dynamics essential characteristics of the model (1.3), but also could promote the formation of constant steady state and periodic oscillation persistent survival mode of prey and predator. Furthermore, it is worth noting that appropriate harvesting effort was beneficial for the formation of a sustainable survival cycle between prey and predator. In summary, we hoped that the research findings could contribute to the comprehensive promotion of bifurcation dynamics studies in the predator-prey model.</p>

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Dynamics analysis of a diffusive SIRI epidemic system under logistic source and general incidence rate

Cited by 3 publications

References 48 publications

Dynamics of a linear source epidemic system with diffusion and media impact

Dynamics of a linear source epidemic system with diffusion and media impact

Global asymptotic stability of endemic equilibria and stability of traveling waves for a diffusive SIR epidemic model with logistic growth

Dynamics analysis of a predator-prey model with Allee effect and harvesting effort

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