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Effect of seasonal changes on predictive model of bovine babesiosis transmission

Laboratory of Pure and Applied Mathematics, Department of Mathematics and Computer Science, Abdelhamid Ben Badis University, Mostaganem 27000, Algeria

E-mail Address: leila.bouzid@univ-mosta.dz

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Omar Belhamiti

http://orcid.org/0000-0002-6514-2769

Laboratory of Pure and Applied Mathematics, Department of Mathematics and Computer Science, Abdelhamid Ben Badis University, Mostaganem 27000, Algeria

E-mail Address: omar.belhamiti@univ-mosta.dz

Corresponding author.

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https://doi.org/10.1142/S1793962317500301Cited by:5 (Source: Crossref)

Abstract

In this paper, we present an attempt at analyzing the seasonal pattern of the Babesiosis transmission dynamics in bovine and tick populations. The infestation rate plays an important role in the variation of infection. In this logic, we set out a mathematical model with variable infestation rate for the evolution of babesiosis disease. Using the (0,2)-Jacobi multi-wavelets method combined with the decoupling and quasi-linearization technique, we demonstrate the validity and applicability of our model. Then, a set of experimental data is used to validate the proposed model under the same operating conditions. The results of numerical simulations are provided to show the impact of seasonality on the transmission dynamics of Babesiosis. Eventually, a numerical study of the model varying the control parameters of babesiosis shows different scenarios about the spread of the disease.

Keywords:

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