In this paper, we consider an n-species Lotka-Volterra periodic competition system. Using a comparison method and the Brouwer fixed point theorem, we obtain some sufficient conditions for the ultimate boundedness of solutions and the existence and global attractivity of a positive periodic solution. We also point out that these results constitute a generalization of K. Gopalsamy and J. M. Cushi...

We study the qualitative behavior of the positive solutions of a second-order rational fuzzy difference equationwith initial conditions being positive fuzzy numbers, and parameters are positive fuzzy numbers. More precisely, we investigate existence of positive solutions, boundedness and persistence, and stability analysis of a second-order fuzzy rational difference equation. Some numerical exa...

In this paper, a harvested logistic equation with delay and piecewise constant argument of generalized type is addressed. Both discrete and piecewise constant delays are incorporated into the logistic equation for investigation. Existence, boundedness of positive solutions and permanence are studied for the proposed logistic model. c ⃝2015 All rights reserved.

We prove the existence, uniqueness, thermodynamic consistency, global boundedness from both above and below, and continuous data dependence for a solution to an integrodifferential model for nonisothermal phase transitions under nonhomogeneous mixed boundary conditions. The specific heat is allowed to depend on the order parameter, and the convex component of the free energy may or may not be s...

This paper presents some results concerning the structural analysis of sequential proceses cooperating via message passing through a set of buuers. Both functional | boundedness, deadlock-freeness, liveness, existence of home states | and performance | marking ergodicity, computation of visit ratios and insensitive throughput bounds | properties are considered.

This paper is concerned with a stochastic predator-prey model with Beddington DeAngelis functional response. The existence of the global solution and the ultimate boundedness of moments of the solution are proved. Moreover, we also estimate the average in time of the solution.