# Stochastic Nicholson's blowflies delay differential equation with regime switching

## TL;DR

This paper studies the existence and behavior of positive solutions to a stochastic Nicholson's blowflies delay differential equation with regime switching, extending previous results in the field.

## Contribution

It provides new theoretical results on the global existence and path estimation of solutions for stochastic delay differential equations with regime switching.

## Key findings

- Proved the global existence of positive solutions.
- Derived estimates for the solution paths.
- Extended previous results to more general stochastic models.

## Abstract

In this paper, we investigate the global existence of almost surely positive solution to a stochastic Nicholson's blowflies delay differential equation with regime switching, and give the estimation of the path. The results presented in this paper extend some corresponding results in Wang et al. Stochastic Nicholson's Blowflies Delayed Differential Equations, Appl. Math. Lett. 87 (2019) 20-26.