A discrete-time dynamical system of mosquito population

TL;DR

This paper models mosquito population dynamics using a discrete-time system, analyzing fixed points and conditions for their global stability to understand population behavior.

Contribution

It introduces a novel discrete-time model for mosquito populations with fixed death rates and analyzes stability conditions for fixed points.

Findings

Identification of fixed points in the model

Conditions for global attractiveness of a fixed point

Insights into mosquito population stability

Abstract

In this paper, we study a discrete-time dynamical system generated by the evolution operator of a wild mosquito population with specific rates of birth and emergence from larvae to adults. The death rates of larvae and adults are assumed to be constant. We find fixed points and under some conditions, on parameters, we show the global attractiveness of a fixed point.