Coexistence region and global dynamics of a harvested predator-prey system. (English) Zbl 0916.34034

Dai, Guoren; Tang, Moxun

SIAM J. Appl. Math. 58, No. 1, 193-210 (1998).

The authors consider a predator-prey model in which two ecological interacting species are harvested independently with constant rates. It is offered a complete mathematical analysis for the model and described some significant qualitative results that may be expected to arise from the interplay of biological forces. The authors prove that the harvested predator-prey system may exhibit a very complicated dynamical behavior.

Reviewer: Chen Lan Sun (Beijing)

MSC:

34C05	Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
92D25	Population dynamics (general)
34C37	Homoclinic and heteroclinic solutions to ordinary differential equations

Keywords:

predator-prey system; homoclinic orbit; limit cycles