具有捕食者转换行为的生态流行病学模型

Deepak Tripathi, Anuraj Singh
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引用次数: 0

摘要

捕食者群体在面对易感和感染两种猎物时,会采取切换机制。在这项研究中,我们提出了一个具有捕食者转换机制的生态流行病学模型的修正。在存在开关行为的情况下,讨论了稳态的存在性及其稳定性。通过跨临界和Hopf分岔的存在,可以观察到所提出模型的质变。数值模拟支持了我们的数值研究结果。在物种生存的背景下,当系统中存在疾病时,它为生态管理者理解动态提供了一些理论观点。
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An eco-epidemiological model with predator switching behavior
Abstract Switching mechanism is adopted by predator populations when they are provided with two types of prey: susceptible and infected. In this study, we propose a modification of an eco-epidemiological model with the predator switching mechanism. In the presence of switching behavior, the existence of steady states and their stability have been discussed. The qualitative changes in the proposed model have been observed by the existence of transcritical and Hopf bifurcation. Numerical simulations are performed to support our numerical findings. In the context of species’ survival when disease is present in the system, it gives some theoretical views for eco-managers to understand the dynamics.
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来源期刊
Computational and Mathematical Biophysics
Computational and Mathematical Biophysics Mathematics-Mathematical Physics
CiteScore
2.50
自引率
0.00%
发文量
8
审稿时长
30 weeks
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