Abstract
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.
Original language | English (US) |
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Pages (from-to) | 188-200 |
Number of pages | 13 |
Journal | Journal Of Mathematical Biology |
Volume | 49 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1 2004 |
Keywords
- Delay equation
- Intraspecific competition
- Lyapunov functional
- Population model
- Stage structure
- Through-stage death rate
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics