Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER
DOI: 10.1186/1687-1847-2014-84
Keywords
Leslie-Gower; permanence; global asymptotic stability; Lyapunov function; Dulac function; fluctuation lemma
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Funding
- Foundation of Fujian Education Bureau [JA13365]
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A predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional response is studied. The local stability of the equilibria and the permanence of the system are investigated. By applying the fluctuation lemma, qualitative analysis and Lyapunov direct method, respectively, three sufficient conditions on the global asymptotic stability of a positive equilibrium are obtained.
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