Mathematical Modeling of Canine and Human Rabies

This article presents a deterministic model describing the joint dynamics of canine and human rabies in a cross-border context. This model explicitly integrates dog mobility between two neighboring countries and allows us to assess the impact of these movements on disease persistence. We analyze the basic reproduction number R0, study the local and global stability of equilibrium points, identify the most influential parameters through sensitivity analysis, and perform numerical simulations to test the effectiveness of different vaccination and movement control strategies.

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Publication Details

Journal
AppliedMath
Published
2025-12-17
DOI
https://doi.org/10.3390/appliedmath5040182
Primary Topic
Rabies epidemiology and control
Type
article
Field-Weighted Citation Impact
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article

Mathematical Modeling of Canine and Human Rabies

Mahamat Saleh Daoussa Haggar, Abdramane Annour Saad
AppliedMath
Rabies epidemiology and control
article

Mathematical Modeling of Canine and Human Rabies

Mahamat Saleh Daoussa Haggar, Abdramane Annour Saad
article en

Abstract

This article presents a deterministic model describing the joint dynamics of canine and human rabies in a cross-border context. This model explicitly integrates dog mobility between two neighboring countries and allows us to assess the impact of these movements on disease persistence. We analyze the basic reproduction number R0, study the local and global stability of equilibrium points, identify the most influential parameters through sensitivity analysis, and perform numerical simulations to test the effectiveness of different vaccination and movement control strategies.

AppliedMathVol. 5(4)
University of N'Djamena (TD)
Openalex Percentile: Top 57%
Rabies epidemiology and control
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