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May 3, 2026Open Access

An optimal control model for malaria transmission incorporating asymptomatic and symptomatic infections with a nonlinear force of infection

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Authors

AMAli Inalegwu MichaelAMAbdulfatai Atte MomohMOMathew Remilekun Odekunle

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Overview

Randomized trial analyzes malaria transmission outcomes with control strategies in a mathematical model, suggesting effective interventions.

Key Points

  • This research aims to develop and analyze a mathematical model of malaria transmission that includes both symptomatic and asymptomatic infections.
  • Developed a mathematical model for malaria incorporating nonlinear force of infection.
  • Conducted positivity tests, stability analysis, and bifurcation analysis on the model.
  • Formulated and solved an optimal control problem using Pontryagin’s Maximum Principle with forward–backward sweep methods.
  • The optimal control strategy combining all components leads to the elimination of both symptomatic and asymptomatic cases.
  • Bifurcation analysis reveals a backward bifurcation, indicating complex dynamics of the disease spread.
  • Sensitivity analysis identifies key parameters impacting the reproduction number.

Cite This Study

Michael et al. (2026) studied this question.

synapsesocial.com/papers/69f6e6648071d4f1bdfc7116https://doi.org/10.59292/bulletinbiomath.1871743
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