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

Li, Wenjie; Zhao, Weiran; Cao, Jinde; Huang, Lihong

doi:10.1007/s00033-024-02271-2

Z. Angew. Math. Phys.

2024

DOI: 10.1007/s00033-024-02271-2

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

Wenjie Li,

Weiran Zhao,

Jinde Cao

et al.

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Cited by 2 publications

References 41 publications

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Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate

Li,

Yang,

Cao

2025

Applied Mathematics Letters

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Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate

Li,

Yang,

Cao

2025

Applied Mathematics Letters

View full text Add to dashboard Cite

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 of a linear source epidemic system with diffusion and media impact

Cited by 2 publications

References 41 publications

Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate

Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate

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

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