The aim of this paper is to consider a non-autonomous predator-prey-like system, with a Gompertz growth law for the prey. By introducing random variations in both prey birth and predator death rates, a stochastic model for the predator-prey-like system in a random environment is proposed and investigated. The corresponding Fokker-Planck equation is solved to obtain the joint probability density...

This paper presents a data-driven, nondeterministic model of the dynamics of predator-prey interactions where the prey accelerates to a speed faster than the predator speed. The method proposed in this work predicts the probability of prey survival after a given number of approaches. The work presented here makes no assumptions about the form of the probability density function (PDF) of model p...

In this paper, a prey-predator model with a social activity of prey population has been analyzed. In some ecological situations, the prey-predator interaction occurs only at the outer surface of a herd formed by prey population. To model this phenomenon, the square root of prey density has been used in the functional response. The basic model is formulated with this modified functional response...