Lotka-Volterra dynamics under periodic influence

TL;DR

This paper investigates how periodic seasonal influences affect population dynamics in Lotka-Volterra models, emphasizing the dependence of periodicity on initial conditions and its implications for ecological systems.

Contribution

It analyzes the impact of seasonal periodicity on Lotka-Volterra models, highlighting the role of initial conditions in determining population oscillations.

Findings

Periodic influences alter population cycles

Initial conditions affect periodicity outcomes

Seasonal changes impact species competition dynamics

Abstract

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