Dynamic behavior of a predator-prey system with stage-structure for prey. (English) Zbl 1140.34384
Summary: The authors consider a predator-prey system with stage-structure for prey, where the predators predate immature prey only. The positivity and boundedness of solutions and the asymptotic stability of the equilibrium are firstly discussed. Then uniformly persistent sufficient conditions for uniform persistence of the populations are derived.
MSC:
34C60 | Qualitative investigation and simulation of ordinary differential equation models |
34D05 | Asymptotic properties of solutions to ordinary differential equations |
34D20 | Stability of solutions to ordinary differential equations |
92D25 | Population dynamics (general) |