<abstract xmlns="http://www.w3.org/1999/xhtml">Coinfection by <italic>Plasmodium</italic> species and <italic>Toxoplasma gondii</italic> in humans is widespread, with its endemic impact mostly felt in the tropics. A mathematical model is formulated as a first-order nonlinear system of ordinary differential equations to describe the coinfection dynamics of malaria-toxoplasmosis in the mainly human and feline susceptible host population in tropical regions. Comprehensive mathematical techniques are applied to show that the model system is bounded, positive and realistic in an epidemiological sense. Also, the basic reproduction number (<italic>Romt</italic>) of the coinfection model is obtained. It is shown that if <italic>Romt &lt;</italic> 1, the model system at its malaria-toxoplasmosis absent equilibrium is both locally and globally asymptotically stable. The impact of toxoplasmosis and its treatment on malaria, and vice versa, is studied and analyzed. Sensitivity analysis was performed to investigate the impact of the model system parameters on the reproduction number of the transmission of malaria-toxoplasmosis coinfection. Simulations and graphical illustrations were made to validate the results obtained from the theoretical model.</abstract>

Coinfection by Plasmodium species and Toxoplasma gondii in humans is widespread, with its endemic impact mostly felt in the tropics. A mathematical model is formulated as a first-order nonlinear system of ordinary differential equations to describe the coinfection dynamics of malaria-toxoplasmosis in the mainly human and feline susceptible host population in tropical regions. Comprehensive mathematical techniques are applied to show that the model system is bounded, positive and realistic in an epidemiological sense. Also, the basic reproduction number (Romt) of the coinfection model is obtained. It is shown that if Romt < 1, the model system at its malaria-toxoplasmosis absent equilibrium is both locally and globally asymptotically stable. The impact of toxoplasmosis and its treatment on malaria, and vice versa, is studied and analyzed. Sensitivity analysis was performed to investigate the impact of the model system parameters on the reproduction number of the transmission of malaria-toxoplasmosis coinfection. Simulations and graphical illustrations were made to validate the results obtained from the theoretical model.

Mathematical Modeling of the Coinfection Dynamics of Malaria-Toxoplasmosis in the Tropics

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Coinfection by Plasmodium species and Toxoplasma gondii in humans is widespread, with its endemic impact mostly felt in the tropics. A mathematical model is...

Mathematical Modeling of the Coinfection Dynamics of Malaria-Toxoplasmosis in the Tropics

Published Online: Dec 16, 2019

Page range: 139 - 163

DOI: https://doi.org/10.2478/bile-2019-0013

Keywords
malaria-toxoplasmosis, reproduction number, local stability, global stability, sensitivity analysis

© 2019 Oluwatayo M. Ogunmiloro, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mathematical Modeling of the Coinfection Dynamics of Malaria-Toxoplasmosis in the Tropics

Published Online: Dec 16, 2019

Page range: 139 - 163

DOI: https://doi.org/10.2478/bile-2019-0013

Keywordsmalaria-toxoplasmosis, reproduction number, local stability, global stability, sensitivity analysis

© 2019 Oluwatayo M. Ogunmiloro, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
malaria-toxoplasmosis, reproduction number, local stability, global stability, sensitivity analysis