A discrete-time dynamical system of mosquito population

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.

Keywords:

• Mosquito population
• fixed point
• attracting
• repelling
• limit point

2020 Mathematics Subject Classification:

• 92D25

Acknowledgments

I am grateful to Professor U. A. Rozikov for the comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).