Title: A model for the population dynamics of banana weevil Cosmopolites sordidus (Germar) with harvesting and time delay: implications for management

Authors: Eliab Horub Kweyunga; Julius Tumwiine; Eldad Karamura

Addresses: Department of Mathematics, Mbarara University of Science and Technology, P.O. Box 1410, Mbarara, Uganda ' Deceased, formerly of: Department of Mathematics, Mbarara University of Science and Technology, P.O. Box 1410, Mbarara, Uganda ' Bioversity International-Uganda, Plot 106, Katalima Road, P.O. Box 24384, Naguru, Kampala, Uganda

Abstract: In this paper, we study a single-species logistic delayed model to represent the population dynamics of the banana weevil Cosmopolites sordidus (Germar). In particular, we consider a logistic equation that incorporates time delay in the recruitment term and constant effort trapping. We analyse the model for the existence and stability of the steady states. The effects of time delay and constant effort trapping on the dynamics of the banana weevil population are investigated. We validate our analytical results using numerical simulations for a given set of parameter values and find that a reduction in egg-to-adult banana weevil survival rate coupled with early and consistent trapping of the banana weevils are key in managing an infestation of the banana weevil on a plantation.

Keywords: banana weevil; bifurcation; global stability; integrated pest management; time delay.

DOI: 10.1504/IJDSDE.2022.127807

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.5, pp.387 - 401

Accepted: 14 Jul 2021
Published online: 19 Dec 2022 *

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