Analysis on Food Web Structure, Interaction, Strength and Stability of Different Mathematical Models of Prey and Predator
This paper deals with the dynamics of a predator–prey model. In this paper, we put some models where the parameters of the biological growth model systematically change over time. The densities of both prey and predator populations are obtained as functions of time. We will be concerned with time intervals of the control process and time dependence of the control functions. Here we have discussed about two important growth models.
KeywordsPredator Prey Time delay Allee effect Nonlinear system
- 3.Berlow EL, Brose U, Martinez ND (2008) The “Goldilocks factor” in foodwebs. Proc Natl Acad Sci USA 105:4079–4080Google Scholar
- 6.Memmott J et al (2006) Biodiversity loss and ecological network structure. In: Pascualand M, Dunne JA (eds) Ecological networks: linking structure to dynamics in food webs. Oxford University Press, OxfordGoogle Scholar
- 8.Freedman HI (1980) Deterministic mathematical models in population ecology. Marcel Dekker, New YorkGoogle Scholar
- 9.Ross R (1911) The prevention of malaria. Murray, LondonGoogle Scholar