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Predator-prey systems with defense switching and density-suppressed dispersal strategy - MaRDI portal

Predator-prey systems with defense switching and density-suppressed dispersal strategy (Q2694077)

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Predator-prey systems with defense switching and density-suppressed dispersal strategy
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    Predator-prey systems with defense switching and density-suppressed dispersal strategy (English)
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    28 March 2023
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    Based on the previous scholars study, the authors proposed a predator-prey system with defense switching mechanism and density-suppressed dispersal strategy. Based on the method of energy estimates and Moser iteration, the authors established the existence of global classical solutions with uniform-in-time boundedness. After that, the authors proved the global stability of co-existence equilibrium by using the Lyapunov functionals and LaSalle's invariant principle. Numerical simulations shows that the density-suppressed dispersal may trigger the pattern formation. At first sight, I think the paper is a two-prey one predator system, similar to the paper [\textit{S. Saha} and \textit{G. Samanta}, Comput. Math. Biophys. 9, No. 1, 90--113 (2021; Zbl 1472.92187)]. However, when I read carefully, the paper is about a one prey, two predator system. This seems interesting. Another interesting thing is the authors introduce the density-suppressed dispersal strategy, which is seldom considered in system described by ordinary differential equations.
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    prey-predator system
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    defense switching
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    density-suppressed diffusion
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    global stability
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    pattern formation
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