[PDF] Top 20 Existence and stability of a unique almost periodic solution for a prey predator system with impulsive effects and multiple delays

... nonautonomous almost periodic prey-predator system with impulsive effects and multiple delays is ...of multiple variables, integral inequalities, differential ... See full document

... The structure of the article as follows. In Section 2, we introduce several important defi- nitions and lemmas. We discuss the permanence of the system in Section 3. Next, we prove the global attractivity of ... See full document

... important effects of ...communication delays are ubiquitous, and often become sources of instabil- ...The delays in electronic neural networks are usually time varying, and sometimes vary violently ... See full document

... In theoretical population biology, mutualism has received very little attention compared to that given to predator-prey interactions or competition among species (see [1-6]). A facultative mutualist is one ... See full document

... Local stability of positive equilibrium and existence of Hopf bifurcation In this section, we analyze the local asymptotic stability of the positive equilibrium and the existence of the Hopf ... See full document

... Gilpin–Ayala predator–prey models with time ...the existence of positive almost periodic solutions have been ...exponential stability of the positive almost ... See full document

... valued, almost periodic function on R}. Suppose that f (t, φ ) is almost periodic in t, uniformly with respect to φ ∈ C([−σ , 0], ...ε− almost periods with respect to S ⊂ C([−σ, 0], R), ... See full document

... seasonal effects of weather, food supplies, mating habits, ...be almost periodic since there is no a priori reason to expect the existence of periodic ...of almost periodicity is ... See full document

... the existence of positive almost periodic solutions to a class of predator-prey system with general functional response and time delays are estab- ...asymptotical ... See full document

... on almost periodic time scales, which is different from periodic time ...by almost periodic time scales (see [14,15] and reference therein) than periodic time ...to ... See full document

... the existence-and-uniqueness, extinction and global asymptotical stability of positive solutions for system ...the delays (or delay-dependent) which is different from the previous works that ... See full document

... In this paper, we have focused on the dynamics comple- xity of a stage-structured system with diffusion and im- pulsive effects. By using the method of coincidence de- gree, we obtain the sufficient ... See full document

... [2, 8, 9, 11, 21, 24] for investigation on predator-prey systems. Here, ϕ(x) may be differ- ent response functions: standard type II and type III response functions (Holling [12]), Ivlev’s functional ... See full document

... the effects of a periodically varying environment are considered as important selective forces on systems in a fluctuating ...be almost periodic since there is no a priori reason to expect the ... See full document

... the stability property of the system (2), which is one of the most important topic in the study of population ...the stability property of a non-autonomous nonlinear stage- structured competition ... See full document

... a periodic impulsive switched predator-prey system with hibernation and birth ...stable prey-extinction boundary periodic solution of the investigated ... See full document

... valued, almost periodic function on R}. Suppose that f (t, φ ) is almost periodic in t, uniformly with respect to φ ∈ C([−σ , 0], ...ε− almost periods with respect to S ⊂ C([−σ, 0], R), ... See full document

... Remark 1.1 A time delay that exists in the negative feedback term (or called leakage term or forgetting term) of neural networks is called leakage delay. If there exists an anti- periodic solution in a ... See full document

... F, solution un of System F is K, ...that System F has an almost periodic solution pn such that β i ≤ p i n ≤ α i , i 1, 2, for all n ∈ ... See full document

... We firstly investigate the global existence and the uniform boundedness of the solutions for (1.5), then prove the global asymptotic stability of the positive equilibrium (u ∗ , v ∗ ) of (1.5) by an ... See full document