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Stability analysis of Rift Valley fever transmission model with efficient and cost-effective interventions

Stability analysis of Rift Valley fever transmission model with efficient and cost-effective interventions

Samson Olaniyi ¹, Olajumoke D Falowo ¹, Abiodun T Oladipo ¹, Gideon K Gogovi ², Adekunle O Sangotola ³

Samson Olaniyi ¹, Olajumoke D Falowo ¹, Abiodun T Oladipo ¹

¹Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria.
²Department of Biostatistics and Health Data Science, Lehigh University, Bethlehem, PA, USA. gig323@lehigh.edu.
³Department of Physical Sciences, Bells University of Technology, Ota, Nigeria.

⁰Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria.

Scientific Reports +

|

April 24, 2025

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View abstract on PubMed

Summary

This summary is machine-generated.

This study models Rift Valley fever (RVF) using mathematical controls like vaccination and sanitation. It identifies optimal strategies for disease prevention and management in livestock and human populations.

Area Of Science

Epidemiology
Mathematical Biology
Public Health

Background

Rift Valley fever (RVF) is a neglected tropical disease impacting African livestock and humans.
RVF poses a significant threat of international spread and economic devastation.

Purpose Of The Study

To develop a novel mathematical model for RVF dynamics.
To analyze the impact of time-dependent controls: treatment, vaccination, and sanitation.
To determine optimal and cost-effective intervention strategies.

Main Methods

Analytical establishment of disease-free and endemic equilibrium points.
Center manifold theory and bifurcation analysis for coexistence of equilibria.
Castillo-Chavez's M-matrix approach and Lyapunov functions for global stability analysis.
Pontryagin's maximum principle for optimal control analysis.

Main Results

Existence and stability of both RVF-free and endemic equilibrium points confirmed.
Characterization of the coexistence of these equilibria.
Proof and characterization of triple optimal control strategies.
Identification of efficient and cost-effective control combinations.

Conclusions

The model provides insights into long-term RVF dynamics.
Effective prevention and optimal control measures at minimal cost are suggested.
Mathematical modeling is crucial for understanding and managing RVF outbreaks.

Keywords:

Bifurcation analysis Economic analysis Global stability Mathematical model Optimal control Rift Valley fever

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