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Abstract: In this paper, an almost periodic system of impulsive differential equations used in modeling two-species in competition is considered. By the comparison between the solutions of impulsive system and the corresponding non-impulsive system and constructing Lyapunov function, sufficient conditions ensuring the uniformly asymptotic stability of a unique positive almost periodic solution of the system are derived. Finally, an example and its corresponding numerical simulations are presented to explain our theoretical results. [Copyright &y& Elsevier]

Abstract: We present an impulsive price model for a single commodity market with delays and uncertain terms. Impulsive perturbations are realized at fixed moments of time and are proposed to model price shocks in the case of continuous time representation. To do so, the paper resorts to the theory of impulsive differential equations. Uncertain terms are due to modeling errors, measurement inaccuracy, mutations in the fluctuation processes and so on. We investigate conditions under which the extended model is capable of generating a stable almost periodic process. [Copyright &y& Elsevier]

Abstract: In this paper, the problem of existence and attractivity of almost periodic solutions for delayed neural field (DNF) with variable coefficients is discussed. First, the model of DNF is established as a modified neural field model. Secondly, by combining the theory of the exponential dichotomy, employing Banach fixed point theory and using differential inequality technique, some conditions for the the existence and attractivity of almost periodic solutions for the DNF are proposed. [Copyright &y& Elsevier]

Abstract: In this paper, we study the positive almost periodic solutions for a class of almost periodic Lotka-Volterra type system with delays and feedback controls. Applying Schauder’s fixed point theorem, a criterion on the existence of the positive almost periodic solution of the system is obtained. Our new criterion, which improves and generalizes some well known results, can be easily checked. [Copyright &y& Elsevier]

Abstract: In this paper, we study the asymptotic behavior of solutions in nonautonomous predator–prey patchy system with Beddington-type functional response. It is proved that the system is permanent under some appropriate conditions. Furthermore, if the system is a(n) (almost) periodic one, a set of easily verifiable sufficient conditions which guarantee the existence, uniqueness and global asymptotic stability of a positive (almost) periodic solutions of system are obtained. [Copyright &y& Elsevier]