The Use of Non-Standard Finite Difference Schemes to Solve the DAMP and SIT Models

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dc.creatorMwasunda, Joshua A.
dc.creatorMureithi, Eunice W.
dc.creatorShaban, Nyimvua
dc.date2016-09-21T17:12:56Z
dc.date2016-09-21T17:12:56Z
dc.date2016-01-15
dc.date.accessioned2018-03-27T08:58:19Z
dc.date.available2018-03-27T08:58:19Z
dc.descriptionSterile insect technique (SIT) is a method of biological control that uses sterile male insects to reduce the reproductive rate of a species of target insect. The method relies on the release of sterile or treated males in order to reduce the native population of insects. We propose the model that governs the dynamics of the anopheles mosquito population, and then modify to incorporate the sterile insect technique as an intervention to curtail the reproduction of mosquitoes. The nonstandard finite difference numerical schemes and simulations for these models are provided. The results indicate that sterile technique with frequent and high rate of release can be an alternative to chemical control tools in the fight against malaria.
dc.identifierMwasunda, J.A., Mureithi, E.W. and Shaban, N., 2016. The Use of Non-Standard Finite Difference Schemes to Solve the DAMP and SIT Models. Journal of Mathematical Sciences and Applications, 3(2), pp.25-32.
dc.identifierhttp://hdl.handle.net/20.500.11810/4140
dc.identifier10.12691/jmsa-3-2-2
dc.identifier.urihttp://hdl.handle.net/20.500.11810/4140
dc.languageen
dc.publisherScience and Education Publishing
dc.subjectSterile insect technique
dc.subjectFinite difference scheme
dc.subjectReproduction number
dc.titleThe Use of Non-Standard Finite Difference Schemes to Solve the DAMP and SIT Models
dc.typeJournal Article, Peer Reviewed

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