ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Dynamical System of a Mosquito Population with Distinct Birth-Death Rates

Journal of Applied Nonlinear Dynamics 10(4) (2021) 791--800 | DOI:10.5890/JAND.2021.12.015

Z.S. Boxonov$^1$ , U.A. Rozikov$^{1,2,3}$

$^1$ V.I.Romanovskiy Institute of Mathematics of Uzbek Academy of Sciences

$^2$ AKFA University, 1st Deadlock 10, Kukcha Darvoza, 100095, Tashkent, Uzbekistan

$^3$ Faculty of Mathematics, National University of Uzbekistan

Abstract

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 $\beta=\mu$ 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.

Acknowledgments

We thank both referees for their useful comments.

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