arXiv:2306.03456 Abstract | arXiv Analytics

arXiv:2306.03456 [math.DS]Abstract References Reviews Resources

Description of trajectories of an evolution operator generated by mosquito population

Published 2023-06-06Version 1

In this paper, we study discrete-time dynamical systems generated by 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.

Comments: 10 pages

Categories: math.DS

Subjects: 92D25

Keywords: evolution operator, mosquito population, description, lyapunov function, trajectories

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