Publications by authors named "Simphiwe M Simelane"
We propose a fractional order model for human papillomavirus (HPV) dynamics, including the effects of vaccination and public health education on developing cervical cancer. First, we discuss the general structure of Caputo fractional derivatives and integrals. Next, we define the fractional HPV model using Caputo derivatives.
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- Public health education is critical in managing both infectious and non-infectious diseases, specifically in controlling tungiasis dynamics through a new nonlinear fractional model.
- The model divides the population into five classes based on disease status, with focuses on public health education, treatment, and contact rates affecting disease transmission.
- Model analysis reveals that tungiasis can be controlled if its reproduction number is below one, and simulations show that increased public health education and treatment improve life quality and reduce infection rates.
Background: Lymphatic filariasis is a globally neglected tropical parasitic disease which affects individuals of all ages and leads to an altered lymphatic system and abnormal enlargement of body parts.
Methods: A mathematical model of lymphatic filariaris with intervention strategies is developed and analyzed. Control of infections is analyzed within the model through medical treatment of infected-acute individuals and quarantine of infected-chronic individuals.