Dynamical system of a mosquito population with distinct birth-death rates

Z. S. Boxonov, U. A. Rozikov

Published 2020-07-07Version 1

We study the discrete-time dynamical systems of a model of wild mosquito population with distinct birth (denoted by $\beta$) and death (denoted by $\mu$) rates. The case $\mu=\beta$ was considered in our previous work. In this paper we prove that for $\beta<\mu$ the mosquito population will die and for $\beta>\mu$ the population will survive, namely, the number of the larvaes goes to infinite and the number of adults has finite limit ${\alpha\over \mu}$, where $\alpha>0$ is the maximum emergence rete.