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Simulation of an Intracellular Differential Equation Model of the Dynamics of Malaria with Immune Control and Treatment

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Simulation of an Intracellular Differential Equation Model of the Dynamics of Malaria with Immune Control and Treatment


Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | John U Okwor

https://doi.org/10.31142/ijtsrd18476



Titus Ifeanyi Chinebu | Edmund Onwubiko Ezennorom | John U Okwor "Simulation of an Intracellular Differential Equation Model of the Dynamics of Malaria with Immune Control and Treatment" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-6, October 2018, pp.361-381, URL: https://www.ijtsrd.com/papers/ijtsrd18476.pdf

We designed a simulation of an intracellular differential equation model of the dynamics of malaria with immune control and treatment which considered malaria parasites in the liver and blood. We considered transmission dynamics of malaria and the interaction between the infection in the liver and blood. The disease free equilibrium of our model was asymptotically stable when the basic reproduction number is less than one and unstable when it is greater than one. Numerical simulations show that if the immune response is strong with effective treatment, malaria infection will be cleared from an infectious human host. A treatment strategy using highly effective drugs against malaria parasites with strong immune response can reduce malaria progression and control the disease.

Mathematical model, Malaria parasite, Hepatocyte, Erythrocyte, Meroziote, Sporozoite, Immune response, Treatment


IJTSRD18476
Volume-2 | Issue-6, October 2018
361-381
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

International Journal of Trend in Scientific Research and Development - IJTSRD having online ISSN 2456-6470. IJTSRD is a leading Open Access, Peer-Reviewed International Journal which provides rapid publication of your research articles and aims to promote the theory and practice along with knowledge sharing between researchers, developers, engineers, students, and practitioners working in and around the world in many areas like Sciences, Technology, Innovation, Engineering, Agriculture, Management and many more and it is recommended by all Universities, review articles and short communications in all subjects. IJTSRD running an International Journal who are proving quality publication of peer reviewed and refereed international journals from diverse fields that emphasizes new research, development and their applications. IJTSRD provides an online access to exchange your research work, technical notes & surveying results among professionals throughout the world in e-journals. IJTSRD is a fastest growing and dynamic professional organization. The aim of this organization is to provide access not only to world class research resources, but through its professionals aim to bring in a significant transformation in the real of open access journals and online publishing.

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