Toxoplasma gondii: A mathematical model of its transfer between cats and the environment

We discuss the transmission of Toxoplasma gondii and its effects in a cat population. Due to the severity of T. gondii spillover infections in pregnant women and monk seals, understanding its dynamics in cats is key to unlocking preventative measures against this parasite. Taking into account susceptible, acutely infectious, and chronically infectious cats, and the surrounding environment, we build a differential equations model of T. gondii transmission in cats. We present our model and the results, identifying conditions under which infection persists. Specifically, we find that higher rates of infection and larger shedding rates facilitate endemic infection. We conclude by discussing how this information can be used to minimize risks to other species.