- 會議論文
Stability and Bifurcations in Delayed Three-Species Model with Generalized Holling-Type Functional Response
並列摘要
A system of delay differential equations arising from a three-species model with two predators feeding on a single prey is considered. The prey population grows logistically in the absence of predators while both predator populations adapt a generalized Holling-type functional response. Each response term includes a delay time, which reflects the gestation period of each predator. The positive steady-state solution of the form (x, y, y) is called the symmetric equilibrium. In this paper, we examine the effects of the difference in delay times. Conditions for the stability and bifurcations of the symmetric equilibrium for the case with multiple delays are provided. This work both unifies the author's previous works in delayed three-species models with Holling types II and III, and extend into generalized Holling type.
延伸閱讀
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