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Received August 14, 2016; Accepted June 25, 2017; Published July 6, 2017.
Abstract. A Lotka-Volterra predator-prey model incorporating a constant number of prey refuge and feedback controls is studied in this paper. By constructing suitable Lyapunov functions, sufficient conditions which ensure the global stability of the positive equilibrium and boundary equilibriums are obtained, respectively. Numerical simulations are also presented to illustrate the feasibility of the main results.
How to Cite this article:
Xiaojie Gong, Xiangdong Xie, Dynamic behaviors of a Lotka-Volterra predator-prey model incorporating a constant number of prey refuge and feedback controls, Journal of Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 34, pp. 1-13.