Description of Trajectories of an Evolution Operator Generated by Mosquito Population
Received 10 November 2023; accepted 22 February 2024; published 17 April 2024
2024, Vol. 20, no. 2, pp. 197-207
Author(s): Boxonov Z. S.
In this paper, we study discrete-time dynamical systems generated by the evolution operator
of mosquito population. An invariant set is found and a Lyapunov function with respect to the
operator is constructed in this set. Using the Lyapunov function, the global attraction of a fixed
point is proved. Moreover, we give some biological interpretations of our results.
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