Two Positive Periodic Solutions for a Neutral Delay Model of Single-Species Population Growth with Harvesting

Positive periodic solutions for an impulsive neutral delay model of single-species population growth on time scales

where a, β, b, c, τ are nonnegative continuous periodic functions. Since then, different classes of neutral functional differential equations have been extensively studied, we refer the readers to [1-5] and the references therein. However, in the natural world, there are many species whose developing processes are both continuous and discrete. Hence, using the only differential equation or diff...

Four positive almost periodic solutions to two species parasitical model with impulsive effects and harvesting terms

By applying Mawhin’s continuation theorem of coincidence degree theory and some skills of inequalities, sufficient conditions are obtained for the existence of at least four positive almost periodic solutions to two species parasitical system with impulsive effects and harvesting terms. Key–Words: Almost periodic solutions; Parasitical system; Coincidence degree; Harvesting term; Time delay; Im...

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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An existence results on positive solutions for a reaction-diffusion model with logistics growth and indefinite weight

In this paper, using sub-supersolution argument, we prove an existence result on positive solution for an ecological model under certain conditions. It also describes the dynamics of the fish population with natural predation and constant yield harvesting. The assumptions are that the ecosystem is spatially homogeneous and the herbivore density is a constant which are valid assumptions for mana...

EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY