Dynamics analysis of prey-predator model with allee effect and functional response

Author

Chao Liu ; Yuanke Li ; Aili Li

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang, China

fYear

2013

fDate

25-27 May 2013

Firstpage

1525

Lastpage

1529

Abstract

A prey-predator model with allee effect and functional response is established, which considers strong allee effect and weak alle effect on the prey-predator ecosystem. Boundedness and positiveness of solution of model system as well as existence of equilibria of model system is studied. By performing local stability analysis, locally asymptotical stability of model system around equilibria is investigated. Furthermore, a Lyapunov function is constructed to analyze the globally asymptotical stability of the proposed model system. Finally, numerical simulations are carried out to show efficiency of the theoretical analysis obtained in this paper.

Keywords

Lyapunov methods; asymptotic stability; numerical analysis; predator-prey systems; Lyapunov function; dynamics analysis; functional response; local stability analysis; locally asymptotical stability; model system equilibria; numerical simulations; prey-predator ecosystem; prey-predator model; solution boundedness; solution positiveness; strong Allee effect; weak Allee effect; Analytical models; Asymptotic stability; Ecosystems; Mathematical model; Sociology; Stability analysis; Statistics; Functional response; Prey-predator model; Stability analysis; Stong Allee effect; Weak Allee effect;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561170

Filename

6561170