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• W4292549024 endingPage "421" @default.
• W4292549024 startingPage "421" @default.
• W4292549024 abstract "This paper considers the time taken for young predators to become adult predators as the delay and constructs a stage-structured predator–prey system with Holling III response and time delay. Using the persistence theory for infinite-dimensional systems and the Hurwitz criterion, the permanent persistence condition of this system and the local stability condition of the system’s coexistence equilibrium are given. Further, it is proven that the system undergoes a Hopf bifurcation at the coexistence equilibrium. By using Lyapunov functions and the LaSalle invariant principle, it is shown that the trivial equilibrium and the coexistence equilibrium are globally asymptotically stable, and sufficient conditions are derived for the global stability of the coexistence equilibrium. Some numerical simulations are carried out to illustrate the main results." @default.
• W4292549024 created "2022-08-22" @default.
• W4292549024 creator A5001444767 @default.
• W4292549024 creator A5073868348 @default.
• W4292549024 date "2022-08-21" @default.
• W4292549024 modified "2023-10-18" @default.
• W4292549024 title "Stability Analysis of a Stage-Structure Predator–Prey Model with Holling III Functional Response and Cannibalism" @default.
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• W4292549024 doi "https://doi.org/10.3390/axioms11080421" @default.
• W4292549024 hasPublicationYear "2022" @default.
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