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

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dc.creator Mwasunda, Joshua A.
dc.creator Mureithi, Eunice W.
dc.creator Shaban, Nyimvua
dc.date 2016-09-21T17:12:56Z
dc.date 2016-09-21T17:12:56Z
dc.date 2016-01-15
dc.date.accessioned 2018-03-27T08:58:19Z
dc.date.available 2018-03-27T08:58:19Z
dc.identifier Mwasunda, 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.identifier http://hdl.handle.net/20.500.11810/4140
dc.identifier 10.12691/jmsa-3-2-2
dc.identifier.uri http://hdl.handle.net/20.500.11810/4140
dc.description Sterile 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.language en
dc.publisher Science and Education Publishing
dc.subject Sterile insect technique
dc.subject Finite difference scheme
dc.subject Reproduction number
dc.title The Use of Non-Standard Finite Difference Schemes to Solve the DAMP and SIT Models
dc.type Journal Article, Peer Reviewed


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