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Mathematical Model of Malaria Fever in the Presence of Two Species of Mosquitoes

P. Baghel1 , T.K. Jhala2 , V.H. Badshah3

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.43-49, Apr-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.4349


Online published on Apr 30, 2019


Copyright © P. Baghel, T.K. Jhala, V.H. Badshah . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: P. Baghel, T.K. Jhala, V.H. Badshah, “Mathematical Model of Malaria Fever in the Presence of Two Species of Mosquitoes,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.43-49, 2019.

MLA Style Citation: P. Baghel, T.K. Jhala, V.H. Badshah "Mathematical Model of Malaria Fever in the Presence of Two Species of Mosquitoes." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.2 (2019): 43-49.

APA Style Citation: P. Baghel, T.K. Jhala, V.H. Badshah, (2019). Mathematical Model of Malaria Fever in the Presence of Two Species of Mosquitoes. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(2), 43-49.

BibTex Style Citation:
@article{Baghel_2019,
author = {P. Baghel, T.K. Jhala, V.H. Badshah},
title = {Mathematical Model of Malaria Fever in the Presence of Two Species of Mosquitoes},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2019},
volume = {6},
Issue = {2},
month = {4},
year = {2019},
issn = {2347-2693},
pages = {43-49},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1207},
doi = {https://doi.org/10.26438/ijcse/v6i2.4349}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i2.4349}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1207
TI - Mathematical Model of Malaria Fever in the Presence of Two Species of Mosquitoes
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - P. Baghel, T.K. Jhala, V.H. Badshah
PY - 2019
DA - 2019/04/30
PB - IJCSE, Indore, INDIA
SP - 43-49
IS - 2
VL - 6
SN - 2347-2693
ER -

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Abstract :
In this study, we assume that both the human and mosquito populations are constant. A dynamical model of malaria fever is proposed and analyzed. The Routh-Hurwitz criteria are used to determine the stability of the model. The conditions which would lead to either the disease free equilibrium state or the endemic equilibrium state is determined. We use mathematical models to find the alternative that propose a model to govern the host of growth, development of change within the two species of malaria. By examine the given model, it has been found that the epidemics involve both species of malaria in the same area are possible.

Key-Words / Index Term :
Mathematical Model, Malaria Fever, Basic Reproductive Number, Equilibrium Point, P. falci-parum

References :
[1] https://www.who.int
[2] Y. Xiao, Study of Malaria Transmission dynamics by Mathematical Models, Western University Scholarship @Western, 2011.
[3] A. A. Gebremeskel, H. E. Krogstad, Mathematical Modeling of Endemic Malaria Transmission, American Journal of Applied Mathematics, 3(2), 36-46, 2015.
[4] S. Naowarat, I. Ming Tang, Transmission Model of Chikungunya Fever in the Presence of Two Species of Aedes Mosquitoes, American Journal of Applied Sciences, 10(5), 449-459, 2013.

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