Advances in Differential Equations and Control Processes

The Advances in Differential Equations and Control Processes is an esteemed international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.

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MALARIA DISEASE MODEL TRANSMISSION WITH MOSQUITOES CONTROL NON PROLIFERATION

Authors

  • Jagaya Yaou
  • Abba Mahamane Oumarou
  • Yahaya Alassane Mahaman Nouri
  • Saley Bisso

Keywords:

epidemiology, numerical simulation, basic reproduction number.

DOI:

https://doi.org/10.17654/0974324322004

Abstract

In [1], we have constructed a model which describes transmission of malaria disease by considering mosquitoes bed net as human population control; this model was derived from Kagunda model [6]. In this paper, we study a malaria disease model transmission using mosquitoes proliferation control. We determine the disease free equilibrium state of the model and compute the basic reproduction number. Numerical simulations are performed to show the impact of using mosquitoes proliferation control in malaria disease model transmission.

Received: October 16, 2021
Accepted: November 10, 2021

References

Yaou Jagaya, Mahamane Oumarou Abba, Mahaman Nouri Yahaya Alassane and Bisso Saley, Modelisation and numerical simulations of a malaria disease model transmission, Far East Journal of Dynamical Systems 33(1) (2021), 39-57.

WHO Malaria Policy Advisory Group (MPAG) Meeting, December 2020. (https://www.who.int/groups/malaria-policy-advisory-group).

Countries of the Greater Mekong ready for the ‘last malaria elimination’, December 2020. (WHO//UCN/GMP/MME/2020.05).

Norms, Standards and Processes Underpinning WHO Vector Control Policy Development, 2020.

https://extranet.who.int/pqweb/vector-controlproducts/prequalified-product-list.

G. Paterne, K. A. W. Badjo, M. O. Abba and B. Saley, Stochastic age-structured malaria transmission model, Journal of Applied Mathematics and Bioinformatics 7(2) (2017), 29-50.

Josephine W. Kagunda, Mathematical analysis and dynamical systems: modeling of high land malaria in Western Kenya, Thèse de Doctorat, Université de Lorraine (France) et Université de Nairobi (Kenya), 2012.

Berge Tsanou, Etude de quelques modèles épidémiologiques de métapopulations : application au paludisme et à la tuberculose, Thèse de Doctorat, Université de Metz (France) et Université de Yaoundé 1 (Cameroon), 2012.

Tewa J. Jules, Analyse globale des modèles épidémiologiques multi- compartimentaux: application à des modèles intra-hôtes de paludisme et de V.I.H., Thèse de Doctorat, 2007.

Jean Luc Dimi, Analyse de modèles épidémiologiques : application à des modèles parasitaires, à la fièvre hémorragique d’Ebola, Thèse de Doctorat, 2006.

Published

2021-12-27

Issue

Section

Articles

How to Cite

MALARIA DISEASE MODEL TRANSMISSION WITH MOSQUITOES CONTROL NON PROLIFERATION. (2021). Advances in Differential Equations and Control Processes, 26, 51-71. https://doi.org/10.17654/0974324322004

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