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This research aims to develop and analyze a mathematical model of malaria transmission that includes both symptomatic and asymptomatic infections.

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

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.

Michael et al. (2026) studied this question.

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