Abstract
A predator–prey model, with aged structure in the prey population and the assumption that the predator hunts prey of all ages, is proposed and investigated. Using the uniform persistence theory for infinite dimensional dynamical systems, the global threshold dynamics of the model determined by the predator’s net reproductive number Re_{P} are established: the predator-free equilibrium is globally stable if Re_{P}<1, while the predator persists if Re_{P}>1. Numerical simulations are given to illustrate the results.
Highlights
Predator–prey interactions are ubiquitous in the biological world, and they are one of the most important topics in ecology and continue to be of widespread interest today
It is understandable that many studies in the dynamics of age-structured predator–prey populations assumed that age structure was only employed in one species, either in predators or prey [5, 13,14,15,16, 20]
5 Summary and discussion In this paper, we study a predator–prey system with stage structured on the prey
Summary
Predator–prey interactions are ubiquitous in the biological world, and they are one of the most important topics in ecology and continue to be of widespread interest today. When considering the age structure among the prey population, we can assume that predation is dependent on the age of the prey. In [11], Li et al argued that the prey population should have an age structure and they assumed that the functional response is of predator-dependent type.
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