In this paper we consider a predator–prey system which has a factor that allows for a
reduction in fitness due to declining population sizes, often termed an Allee effect. We study …

Theorems for the existence of periodic solutions for diverse models of population dynamics
are obtained as corollaries of a few basic theorems, thus unifying the analysis of a broad …

Ordinary differential equations play a crucial role in providing answers to realworld problems
and they continue to be an indispensable tool in scientific investigations. Although these …

Density-dependent effects, both positive or negative, can have an important impact on the
population dynamics of species by modifying their population per-capita growth rates. An …

A nonautonomous logistic population model with a feature of an Allee threshold has been
investigated in a periodically fluctuating environment. A slow periodicity of the harvesting …

We consider the existence of at least three positive solutions of a nonlinear first order
problem with a nonlinear nonlocal boundary condition given by [formula] where r:[0 …

We study a first order differential system subject to a nonlocal condition. Our goal in this
paper is to establish conditions sufficient for the existence of positive solutions when the …

In this article we present the qualitative properties of solutions of a periodic differential
equation that describes dynamics of a renewable resource subjected to strong Allee effect …

The harvesting model, as considered in Chapter 2 takes a dimensionless form as the initial
value problem for p (t, ϵ); dp (t, ϵ) dt= r (ϵt) p (t, ϵ)(1− p (t, ϵ) k (ϵt))− σh (ϵt), p (0, ϵ) …

The authors study the existence of at least two positive periodic solutions of the dynamics of
a single species renewable resource under periodic habitat fluctuation with harvesting and …