A note on global properties for a stage structured predator-prey model with mutual interference. (English) Zbl 1448.92196
Summary: The global stability for a stage structured predator-prey model with mutual interference is investigated. By using the method of Lyapunov functionals, it is shown that the system has a unique interior equilibrium, which is always globally asymptotically stable without any additional assumptions. The results indicate that mutual interference helps the endangered predators survive under any maturation time delay of preys. This answers two open problems presented in [Z. Li et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 173–187 (2014; Zbl 1287.34071)].
MSC:
| 92D25 | Population dynamics (general) |
| 37N25 | Dynamical systems in biology |
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 34K20 | Stability theory of functional-differential equations |
Keywords:
predator-prey model; stage structure; mutual interference; global stability; Lyapunov functionalCitations:
Zbl 1287.34071References:
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