Stability Analysis of Competing Insect Species for a Single Resource

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dc.contributor.authorMwalusepo, Sizah
dc.contributor.authorTonnang, Henri E. Z.
dc.contributor.authorMassawe, Estomih S.
dc.contributor.authorJohansson, Tino
dc.contributor.authorLe Ru, Bruno P.
dc.date.accessioned2016-06-26T17:29:28Z
dc.date.available2016-06-26T17:29:28Z
dc.date.issued2014
dc.description.abstractThe models explore the effects of resource and temperature on competition between insect species. A system of differential equations is proposed and analysed qualitatively using stability theory. A local study of the models is performed around axial, planar, and interior equilibrium points to successively estimate the effect of (i) one species interacting with a resource, (ii) two competing species for a single resource, and (iii) three competing species for a single resource. The local stability analysis of the equilibrium is discussed using Routh-Hurwitz criteria. Numerical simulation of the models is performed to investigate the sensitivity of certain key parameters. The models are used to predict population dynamics in the selected cases studied. The results show that when a single species interacts with a resource, the species will be able to establish and sustain a stable population. However, in competing situation, it is observed that the combinations of three parameters (half-saturation, growth rate, and mortality rate) determine which species wins for any given resource. Moreover, our results indicate that each species is the superior competitor for the resource for the range of temperature for which it has the lowest equilibrium resource.en_US
dc.identifier.citationMwalusepo, S., Tonnang, H.E., Massawe, E.S., Johansson, T. and Le Ru, B.P., 2014. Stability Analysis of Competing Insect Species for a Single Resource. Journal of Applied Mathematics, 2014.en_US
dc.identifier.doi10.1155/2014/285350
dc.identifier.urihttp://hdl.handle.net/20.500.11810/2757
dc.language.isoenen_US
dc.publisherHindawi Publishing Corporationen_US
dc.titleStability Analysis of Competing Insect Species for a Single Resourceen_US
dc.typeJournal Article, Peer Revieweden_US
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