Trapping the banana weevil, Cosmopolites sordidus, Germar: a mathematical perspective
Date
2019-08Author
Kweyunga Eliab Horub
Tumwiine, Julius
Karamura, Eldad
Metadata
Show full item recordAbstract
A logistic equation incorporating trapping is formulated and parameterized to
represent the population dynamics of the banana weevil, Cosmopolites Sordidus,
(Germar). The steady states are obtained and their asymptotic stability established.
The expression for the critical intrinsic growth rate is derived and its implications
analyzed. The existence of possible bifurcations is investigated. It is found out that
instability increases with the intrinsic growth rate and that as the intrinsic growth rate
approaches the critical value, a mathematical catastrophe occurs at which the equilibria
annihilate each other and coalesce into one. Numerical simulations are carried out to
validate the results.
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- SIMC 2019 [99]