Geodesic
Description of Trajectories of an Evolution Operator Generated by Mosquito Population
Russian journal of nonlinear dynamics, Tome 20 (2024) no. 2, pp. 197-207

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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.
Keywords: Lyapunov function, fixed point, limit point
Mots-clés : invariant set 
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     author = {Z. S. Boxonov},
     title = {Description of {Trajectories} of an {Evolution} {Operator} {Generated} by {Mosquito} {Population}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {197--207},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2024_20_2_a0/}
}
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Z. S. Boxonov. Description of Trajectories of an Evolution Operator Generated by Mosquito Population. Russian journal of nonlinear dynamics, Tome 20 (2024) no. 2, pp. 197-207. http://geodesic.mathdoc.fr/item/ND_2024_20_2_a0/