Predator-prey systems with defense switching and density-suppressed dispersal strategy. (English) Zbl 1511.92050
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 [S. Saha and 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.
At first sight, I think the paper is a two-prey one predator system, similar to the paper [S. Saha and 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.
Reviewer: Fengde Chen (Fuzhou)
MSC:
| 92D25 | Population dynamics (general) |
| 34D23 | Global stability of solutions to ordinary differential equations |
Keywords:
prey-predator system; defense switching; density-suppressed diffusion; global stability; pattern formationCitations:
Zbl 1472.92187References:
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