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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


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:

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

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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.


We thank both referees for their useful comments.


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