Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator–prey model with Holling type functional response
نویسندگان
چکیده
منابع مشابه
Periodic Solutions and Stability for a Delayed Discrete Ratio-dependent Predator-prey System with Holling-type Functional Response
The existence of positive periodic solutions for a delayed discrete predator-prey model with Holling-type-III functional responseN1(k+1)=N1(k)exp{b1(k)−a1(k)N1(k− [τ1]) −α1(k)N1(k)N2(k)/(N 1 (k) +m2N 2 (k))}, N2(k + 1) = N2(k)exp{−b2(k) + α2(k)N 1 (k − [τ2])/(N 1 (k − [τ2]) + m2N 2 (k − [τ2]))} is established by using the coincidence degree theory. We also present sufficient conditions for the ...
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The dynamic relationship between the predator and the prey has long been and will continue to be one of the dominant themes in population dynamics due to its universal existence and importance in nature 1 . In order to precisely describe the real ecological interactions between species such asmite and spidermite, lynx and hare, and sparrow and sparrow hawk, described by Tanner 2 and Wollkind et...
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A delayed periodic Holling-type predator–prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulat...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2004
ISSN: 0377-0427
DOI: 10.1016/j.cam.2003.06.005