A stage structured predator-prey model and its dependence on maturation delay and death rate.
Many of the existing models on stage structured populations are single species models or models which assume a constant resource supply. In reality, growth is a combined result of birth and death processes, both of which are closely linked to the resource supply which is dynamic in nature. From this basic standpoint, we formulate a general and robust predator-prey model with stage structure with constant maturation time delay (through-stage time delay) and perform a systematic mathematical and computational study. Our work indicates that if the juvenile death rate (through-stage death rate) is nonzero, then for small and large values of maturation time delays, the population dynamics takes the simple form of a globally attractive steady state. Our linear stability work shows that if the resource is dynamic, as in nature, there is a window in maturation time delay parameter that generates sustainable oscillatory dynamics.
Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey GU2 7XH, UK. s.gourley@surrey.ac.uk
Stephen A
SA
Gourley
Yang
Y
Kuang
D000818:Animals; D003643:Death; D006128:Growth / Q000502:physiology*; D008954:Models, Biological; D008962:Models, Theoretical; D011235:Predatory Behavior