Permanence and global asymptotic stability of a delayed predator-prey model with Hassell-Varley type functional response

Wang, K.; Zhu, Y. L.

Permanence and global asymptotic stability of a delayed predator-prey model with Hassell-Varley type functional response

Document Type : Research Paper

Authors

K. Wang

Y. L. Zhu

Abstract

Here, a predator-prey model with Hassell-Varley type functional
responses is studied. Some sufficient conditions are obtained
for the permanence and global asymptotic stability of the
system by using comparison theorem and constructing a suitable
Lyapunov functional. Moreover, an example is illustrated to
verify the results by simulation.

Keywords

Permanence

asymptotic stability

comparison theorem

Lyapunov functional