## Abstract In this paper we study a nonβlinear system of differential equations arising in chemotaxis. The system consists of a PDE that describes the evolution of a population and an ODE which models the concentration of a chemical substance. We study the number of steady states under suitable as
Stability analysis of a stochastic logistic model
β Scribed by J. Golec; S. Sathananthan
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 527 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
β¦ Synopsis
we provide asymptotic analysis of equilibrium states of a stochastic logistic population model for a single species. The model is based on a stochastic differential equation with a nonlinear diffusion term. Both It.6 and StratonoviE interpretations are considered. We obtain sufficient conditions for stability by means of the Liapunov second method. We also present results of a numerical simulation for the considered stochastic logistic model.
π SIMILAR VOLUMES
A simple model of the dynamics of an infectious disease, taking into account environmental variability in the form of Gaussian white noise in the disease transmission rate, has been investigated. The probability distribution for the proportion of infected animals, plus its mean, mode and variance ar