Sensitivity Analysis and Chaos Control of Toxoplasma Gondii Dynamics Model for the Cat Population with Early Identification

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DOI: https://doi.org/10.28924/2291-8639-24-2026-251
Published: Aug 17, 2026
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Muhammad Farman, Aqeel Ahmad, Muhammad Sohaid, Evren Hincal, Aseel Smerat, Mohammad Hafeez, Sensitivity Analysis and Chaos Control of Toxoplasma Gondii Dynamics Model for the Cat Population with Early Identification, Int. J. Anal. Appl., 24 (2026), 251.

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Muhammad Farman, Aqeel Ahmad, Muhammad Sohaid, Evren Hincal, Aseel Smerat, Mohammad Hafeez

Abstract

This research examines the ecological and domestic cat-to-cat dynamics of Toxoplasma gondii transmission explored in terms of vaccination and sanitation methods as major intervention steps. Considering the severe negative consequences of toxoplasmosis in the fetus and the implications of the mentioned issue on the health of the population, a justifiable conception of the parasites present in the cat circulation is necessary. Populations play a central role in the development of control policies. A compartmental mathematical structure is employed for this purpose designed by subdividing the cat population into four health-related subgroups, along with an environmental sub-compartment column responsible for maintaining oocyst pollution. The model that has been developed summarizes the dynamics between infectious cats and the environment in which they are located, both in direct and indirect patterns of transmission. Results of the analysis are provided define the conditions under which the disease can be eradicated and also the conditions when the parasite is not eradicated inevitable. It is demonstrated through a thorough sensitivity analysis that inadequate vaccination coverage and inadequate sanitation practices. Treatments also stimulate the survival of the parasites, resulting in more oocysts being shed and increasing the rate of infection in susceptible individuals cat populations. Moreover, the results highlight the importance of integrated control measures in mitigating environmental impacts contaminated mind and minimizing the exposure to zoonotic transmission, ongoing debates are presented to be discussed. How specific vaccination and better practices to control Toxoplasma gondii spread to other animals can be achieved vulnerable animals and possibly at-risk human populations. The experiences acquired in this model can be used as a reference in future epidemiological planning and in the development of practical guidelines that would decrease the burden of long-term conditions in the future toxoplasmosis.

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