排序方式: 共有28条查询结果,搜索用时 31 毫秒
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Qi Wang Youmei Zhang Minmin Ding 《Journal of Mathematical Analysis and Applications》2011,376(1):212-220
A ratio-dependent Leslie system with impulses is studied. By using a comparison theorem, continuation theorem base on coincidence degree and constructing a suitable Lyapunov function, we establish sufficient and necessary conditions for the existence and global attractivity of periodic solution. Examples show that the obtained criteria are easily verifiable. 相似文献
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Tapan Saha Charugopal Chakrabarti 《Journal of Mathematical Analysis and Applications》2009,358(2):389-1233
In this paper, a delayed Holling-Tanner predator-prey model with ratio-dependent functional response is considered. It is proved that the model system is permanent under certain conditions. The local asymptotic stability and the Hopf-bifurcation results are discussed. Qualitative behaviour of the singularity (0,0) is explored by using a blow up transformation. Global asymptotic stability analysis of the positive equilibrium is carried out. Numerical simulations are presented for the support of our analytical findings. 相似文献
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A discrete three trophic level food chain model with ratio-dependent Michaelis-Menten type functional response is investigated. It is shown that under some appropriate conditions the system is permanent. The results indicate that, to make the species coexist in the long run, it is a surefire strategy to keep the death rate of the predator and top predator rather small and the intrinsic growth rate of the prey relatively large. 相似文献
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This paper deals with a ratio-dependent predator–prey system with a crowding term in the prey equation, where it is assumed that the coefficient of the functional response is less than the coefficient of the intrinsic growth rates of the prey species. We demonstrate some special behaviors of solutions to the system which the coexistence states of two species can be obtained when the crowding region in the prey equation only is designed suitably. Furthermore, we demonstrate that under some conditions, the positive steady state solution of the predator–prey system with a crowding term in the prey equation is unique and stable. Our result is different from those ones of the predator–prey systems without the crowding terms. 相似文献
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运用Mawhin连续定理,讨论得到了一类含非单调功能反应与脉冲的时滞比率依赖捕食-食饵模型存在多重正周期解的充分条件,所得结果推广并改进了一些已有结果. 相似文献
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Wonlyul Ko 《Journal of Mathematical Analysis and Applications》2007,335(1):498-523
In this paper, a food chain model with ratio-dependent functional response is studied under homogeneous Neumann boundary conditions. The large time behavior of all non-negative equilibria in the time-dependent system is investigated, i.e., conditions for the stability at equilibria are found. Moreover, non-constant positive steady-states are studied in terms of diffusion effects, namely, Turing patterns arising from diffusion-driven instability (Turing instability) are demonstrated. The employed methods are comparison principle for parabolic problems and Leray-Schauder Theorem. 相似文献
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Global analysis of the predator-prey system with Beddington-DeAngelis functional response 总被引:1,自引:0,他引:1
Tzy-Wei Hwang 《Journal of Mathematical Analysis and Applications》2003,281(1):395-401
In this paper, predator-prey systems with Beddington-DeAngelis functional response are considered. By using divergency criterion, global stability is established provided the system possesses a positive, locally asymptotically stable equilibrium. 相似文献
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In this paper, we consider a Holling-Tanner system with ratio-dependence. First, we establish the sufficient conditions for the global stability of positive equilibrium by constructing Lyapunov function. Second, through a simple change of variables, we transform the ratio-dependent Holling-Tanner model into a better studied Liénard equation. As a result, the uniqueness of limit cycle can be solved. 相似文献