Lotka-Volterra systems in environments with randomly disordered temporal periodicity.

On the persistence regime for Lotka-Volterra in randomly fluctuating environments

In this note, we study the long time behavior of Lotka-Volterra systems whose coefficients vary randomly. Benäım and Lobry (2015) recently established that randomly switching between two environments that are both favorable to the same species may lead to different regimes: extinction of one species or the other, or persistence of both species. Our purpose here is to describe more accurately th...

Lotka-Volterra dynamics under periodic influence

Lotka Volterra model and its modified forms have long become a major area of interest for periodic motions in nonlinear systems with competitive species. The model given by Volterra shows that its periodicity is dependent on initial condition. This characteristics allows us to calculate the effect of periodic seasonal changes on population densities of different species.

Lotka–volterra with Randomly Fluctuating Environments or “how Switching between Beneficial Environments Can Make Survival Harder”1 by Michel Benaïm

The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations

Some scientists are interesting to study in area of harvested ecological modelling. The harvested population dynamics is more realistic than other ecological models. In the present paper, some of the Lotka-Volterra predator-prey models have been considered. In the said models, existing species are harvested by constant or variable growth rates. The behavior of their solutions has been analyzed ...

Almost periodicity in a harvesting Lotka-Volterra recurrent neural networks with time-varying delays

By using the theory of exponential dichotomy and Banach fixed point theorem, this paper is concerned with the problem of the existence and uniqueness of positive almost periodic solution in a delayed Lotka-Volterra recurrent neural networks with harvesting terms. To a certain extent, our work in this paper corrects some result in recent years. Finally, an example is given to illustrate the feas...