Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis

Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis

We study the existence of global unique classical solution to a density-dependent prey-predator population system with indirect prey-taxis effect. With two Lyapunov functions appropriately constructed, we then show that the solution can asymptotically approach prey-only state or coexistence state of...

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Bibliographic Details
Main Author: Yong Luo
Format: Article
Language:English
Published: AIMS Press 2021-08-01
Series:Mathematical Biosciences and Engineering
Subjects:
density-dependent
indirect prey-taxis
lyapunov function
asymptotical stability
nonlinear semigroup
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2021331?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mbe.2021331?viewType=HTML

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