Positive periodic solutions in delayed Gause-type predator–prey systems
نویسندگان
چکیده
منابع مشابه
Periodic Solutions in Periodic Delayed Gause-Type Predator-Prey Systems
Reasonable sufficient conditions are obtained for the existence of positive periodic solutions in periodic delayed Gause-type predator-prey systems. Our approach involves the application of coincidence degree theorem and estimations of uniform upper bounds on solutions. This method imposes minimum restrictions on the form and magnitude of time delays. Indeed, our results are applicable to discr...
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where x(t), y(t) denote the population density of prey and predator at time t, respectively. g(e), p(e) and /z(s) are assumed to satisfy appropriate conditions. v, a positive constant, stands for the death rate of predator y in the absence of prey x. We may think of this system as herbivores (y) grazing upon vegetation (x), which take time r to recover. In view of the fact that many predator-pr...
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We consider the existence of positive ω-periodic solutions for the periodic equation x (t) = a(t)e x(t) x(t) − λb(t)f (x(t − τ (t))), where a, b ∈ C (R, [0, ∞)) are ω-periodic, ω 0 a(t)dt > 0, ω 0 b(t)dt > 0, f ∈ C ([0, ∞), [0, ∞)), and f (u) > 0 for u > 0, τ (t) is a continuous ω-periodic function.
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where x(t) denotes the density of the prey population and y(t) the density of predators. Parameters r, K, s, Y , and m are positive constants denoting the intrinsic growth rate and the carrying capacity of the prey, the death rate of the predator in the absence of prey, the yield constant, and the maximal growth rate of the predator, respectively. The function f(x) denotes the response function...
متن کاملPositive Almost Periodic Solutions for a Delayed Predator–Prey Model with Hassell-Varley Type Functional Response
Tianwei Zhang 1,*, Liyan Pang 2 and Yongzhi Liao 3 1 City College, Kunming University of Science and Technology, Kunming 650051, China 2 School of Mathematics and Computer Science, Ningxia Normal University, Guyuan, Ningxia 756000, China; [email protected] 3 School of Mathematics and Computer Science, Panzhihua University, Panzhihua, Sichuan 617000, China; [email protected] * Correspondence: zh...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.07.079