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

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

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