SDE in Random Population Growth

TL;DR

This paper extends stochastic differential equations with random coefficients to model population growth, clarifying the connection between Itô and Stratonovich calculus in this context.

Contribution

It introduces a generalized SDE framework with random coefficients and explores its relation to population growth models and stochastic calculus.

Findings

Extended SDE models with random coefficients for population dynamics

Clarified the relationship between Itô and Stratonovich calculus in this setting

Provided theoretical insights into stochastic population growth modeling

Abstract

In this paper we extend the recent work of C.A. Braumann \cite{B2007} to the case of stochastic differential equation with random coefficients. Furthermore, the relationship of the It\^o-Stratonovich stochastic calculus to studies of random population growth is also explained.