A Study of Verhulst’s Model with Gaussian
Correlated Noise

S.S. Rajput; S.S. Yadav

doi:https://doi.org/10.14445/22315373/IJMTT-V2I3P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 2 | Issue 3 | Year 2011 | Article Id. IJMTT-V2I3P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V2I3P502

A Study of Verhulst’s Model with Gaussian Correlated Noise

S.S. Rajput, S.S. Yadav

Citation :

S.S. Rajput, S.S. Yadav, "A Study of Verhulst’s Model with Gaussian Correlated Noise," International Journal of Mathematics Trends and Technology (IJMTT), vol. 2, no. 3, pp. 4-6, 2011. Crossref, https://doi.org/10.14445/22315373/IJMTT-V2I3P502

Abstract

The Verhulst’s differential equation is used to analyze cancer cell population in the existence of correlated white noise. We discuss the steady state properties of tumor cell growth and discuss the effect of correlated noise. We have obtained steady state probability function for tumor cell population from Fokker-Planck equation. The study reveals that as degree of correlation of the noise increases tumor cells died out.

Keywords

Verhulst differential equation, Stationary probability density function, Gaussin correlation noise

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