Dynamics of a Lotka-Volterra type model with applications to marine phage population dynamics

dynamics and bifurcations of a lotka-volterra population model

this paper investigates the dynamics and stability properties of a discrete-time lotka-volterra type system. we first analyze stability of the fixed points and the existence of local bifurcations. our analysis shows the presence of rich variety of local bifurcations, namely, stable fixed points; in which population numbers remain constant, periodic cycles; in which population numbers oscillate amo...

Modeling Population Dynamics with Volterra-Lotka Equations

The purpose of this project is to model multi-species interactions using Volterra-Lotka equations in both two and three dimensions. Changes in population dynamics that arise as a result of modifying parameters are examined. The population dynamics of the resulting systems are analyzed in terms of stability around equilibrium points and within invariant surfaces. Of particular interest is period...

Dynamics of a discrete Lotka-Volterra model

Population Dynamics of Stochastic Lattice Lotka–Volterra Models

Hamiltonian Dynamics of the Lotka-Volterra Equations

as a model for the competition of n biological species. In this model, xj represents the number of individuals of species j (so Volterra assumes xj > 0), the ajk’s are the interaction coefficients, the εj ’s and the βj’s(> 0) are parameters that depend on the environment. For example, εj > 0 means that species j is able to increase with food from the environment, while εj < 0 means that it cann...