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Stability analysis of Holling III functional response predator-prey systems with nonlinear diffusion and delay. (Chinese. English summary) Zbl 07266814
Summary: A class of nonautonomous predator-prey competition systems with nonlinear diffusion and Holling III functional reactions with continuous and discrete delays are studied in this paper. By using the comparison theorem, the sufficient conditions for the uniformly persistent existence of the system are obtained. With Lyapunov stability theory, sufficient conditions for the existence, uniqueness and global asymptotic stability of positive periodic solutions for the corresponding periodic systems are obtained. Numerical simulation illustrates the feasibility of the main result.
MSC:
34K20 Stability theory of functional-differential equations
92D25 Population dynamics (general)
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