Uniqueness of limit cycles in a predator-prey system with Holling-type functional response
نویسندگان
چکیده
منابع مشابه
Nonexistence of Limit Cycles in a Predator-prey System with a Sigmoid Functional Response
In this paper we consider a predator-prey system with a sigmoid functional response of the form ~ ( x ) = x n / ( a + x n ) , n > 1 . Following Sugie et al. results in [S] and 191, by taking advantage of Freedman and So's theorem in 131, we present a sufficient and necessary condition for the nonexistence of limit cycles of this system with n > 1.
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Abstract. In this paper, a predator-prey system with Holling type II functional response and stage structure is investigated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the system is studied. The existence of the orbitally asymptotically stable periodic solution is established. By using suitable Lyapunov functions and the LaSal...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 2000
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1770656