A STUDY OF MALARIA TRANSMISSION DYNAMICS BY MATHEMATICAL MODELLING

Dr. Gyan Shekhar; Irshad Ahmad Mir

A STUDY OF MALARIA TRANSMISSION DYNAMICS BY MATHEMATICAL MODELLING

January 2020

Vol-6, Issue-1

Paper ID: 11281

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

applied science

Keywords

Malaria Transmission Time Dynamics Modelling etc.

Abstract

In this paper we are presenting a study of Malaria Transmission Dynamics by Mathematical Modelling. The model is an autonomous system, constructed by considering two models: a model of vector population and a model of virus transmission. Therefore, given that partially immune individuals remain slightly infectious to mosquitoes, a similar work has been done in this paper for malaria global transmission dynamics following the SIRS-SI pattern. The original reproduction ratio has been calculated using the next generation matrix method. These incidence rates produce antibodies in response to the presence of malaria caused by parasites in both human and mosquito populations. The existence of an area where model epidemiology is possible is established. Stability analysis of the disease-free equilibrium is performed through a threshold parameter (reproduction number R0) obtained using the next generation matrix technique.

License

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Author Information

#	Name	Institute / Affiliation
1	Dr. Gyan Shekhar	Bhagwant University
2	Irshad Ahmad Mir	Bhagwant University

How to Cite

Use the following formats to cite this article in your research.

APA Style

Shekhar, Dr. Gyan & Mir, Irshad Ahmad (2020). A STUDY OF MALARIA TRANSMISSION DYNAMICS BY MATHEMATICAL MODELLING. International Journal of Advance Research and Innovative Ideas In Education, 6(1), 423-428.

MLA Style

Shekhar, Dr. Gyan, and Irshad Ahmad Mir. "A STUDY OF MALARIA TRANSMISSION DYNAMICS BY MATHEMATICAL MODELLING." International Journal of Advance Research and Innovative Ideas In Education, vol. 6, no. 1, 2020, pp. 423-428.

IEEE Style

Dr. Gyan Shekhar and Irshad Ahmad Mir, "A STUDY OF MALARIA TRANSMISSION DYNAMICS BY MATHEMATICAL MODELLING," International Journal of Advance Research and Innovative Ideas In Education, vol. 6, no. 1, pp. 423-428, 2020.

Vancouver Style

Shekhar Dr. Gyan, Mir Irshad Ahmad. A STUDY OF MALARIA TRANSMISSION DYNAMICS BY MATHEMATICAL MODELLING. International Journal of Advance Research and Innovative Ideas In Education. 2020;6(1):423-428.

Harvard Style

Shekhar, Dr. Gyan & Mir, Irshad Ahmad (2020) 'A STUDY OF MALARIA TRANSMISSION DYNAMICS BY MATHEMATICAL MODELLING', International Journal of Advance Research and Innovative Ideas In Education, 6(1), pp. 423-428.

Chicago Style

Shekhar, Dr. Gyan and Irshad Ahmad Mir. "A STUDY OF MALARIA TRANSMISSION DYNAMICS BY MATHEMATICAL MODELLING." International Journal of Advance Research and Innovative Ideas In Education 6, no. 1 (2020): 423-428.

Turabian Style

Shekhar, Dr. Gyan and Irshad Ahmad Mir. "A STUDY OF MALARIA TRANSMISSION DYNAMICS BY MATHEMATICAL MODELLING." International Journal of Advance Research and Innovative Ideas In Education 6, no. 1 (2020): 423-428.