Journal of Mathematical Sciences and Applications
ISSN (Print): 2333-8784 ISSN (Online): 2333-8792 Website: Editor-in-chief: Prof. (Dr.) Vishwa Nath Maurya, Cenap ozel
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Journal of Mathematical Sciences and Applications. 2015, 3(2), 25-32
DOI: 10.12691/jmsa-3-2-2
Open AccessArticle

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

Joshua A Mwasunda1, Eunice W Mureithi2 and Nyimvua Shaban2,

1Department of Mathematics, Mkwawa University College of Education, Tanzania

2Department of Mathematics, University of Dar es Salaam, Tanzania

Pub. Date: January 15, 2016

Cite this paper:
Joshua A Mwasunda, Eunice W Mureithi and Nyimvua Shaban. The Use of Non-Standard Finite Difference Schemes to Solve the DAMP and SIT Models. Journal of Mathematical Sciences and Applications. 2015; 3(2):25-32. doi: 10.12691/jmsa-3-2-2


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.

sterile insect technique finite difference scheme reproduction number

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