Mathematical modeling of the influence of vertical transmission and mild infection on the dynamics of toxoplasmosis
Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-15-11_015
تاریخ نمایه سازی: 17 تیر 1403
Abstract:
In this article, a novel model for the dynamics of toxoplasmosis in human and cat populations with vertical transmission and contribution of oocysts to the environment from the mildly infected cats is constructed. The non-negative properties of the model's solutions are proved. We demonstrate that a secondary quantity that affects the overall dynamics of T. gondii in human and cat populations is the reproductive ratio \mathcal{R}_{\circ}. The impact of the contribution of oocysts from the mildly infected cats as well as the impact of vertical transmission and the impact of effective contact between cat and cat and cat and humans on the reproductive ratio are shown. The model's endemic and disease-free equilibria are derived, and their local and global stabilities are proved. The bifurcation and sensitivity of the model's parameters to T. gondii dynamics are studied. Finally, simulations are performed with the aid of the computer-in-built Runge-Kutta package implemented in the software Maple to illustrate the behavior of the model graphically. The results indicate that vertical transmission, contact with the infected cats and the contribution of T. gondii from the mildly infected cats have a significant impact on the dynamics of toxoplasmosis.
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Authors
Abayomi Ayoade
Department of Mathematics, Faculty of Science, University of Lagos, Lagos, Nigeria
Akeem Alimi
Department of Mathematics, Faculty of Science, University of Lagos, Lagos, Nigeria
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