An Optimal Saturated Incidence Model for Malaria Transmission Control

• Henry Amankwah

  English

  Author

• Francis Benyah

  English

  Author

The transmission and control of malaria may be represented by a vector-host deterministic model, with
treatment and prevention serving as the controls. A new preventive function, an essential tool in the battle against
malaria, has been added to our model, bringing attention to the importance of prevention in lowering vector populations.
An additional innovation is the use of a new treatment function. This reflects the reality that only a fraction of the
infected population has access to treatment at any given moment. The key to successfully controlling malaria is
increasing this fraction. Finding the right mix of preventive and treatment is essential for successfully reducing malaria
transmission, and optimal control strategies help with that. By simulating the optimality system's solutions with different
parameter values, we find that adjacent communities may greatly decrease the prevalence of malaria and, with the right
measures taken, might even eliminate the disease entirely.

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