vaccination

Toxoplasmosis is one of the most prevalent infectious diseases in the world due to its harmful effects on both humans and animals.  In this study, we present the dynamics of Toxoplasmosis in cat and mouse populations.  We implement continuous vaccination for cats, horizontal transmission in both populations, and include vertical (congenital) transmission only in the cat population.  Additionally, we consider the impact of oocysts of the parasite Toxoplasma gondii, which is responsible for causing the Toxoplasmosis infection.  The paper offers a comprehensive analysis of

In this paper, we propose a mathematical model that describes the effect of rumors on the success of vaccination programs against Covid-19 in an environment infected by the coronavirus.  The aim of this study is to highlight the role of addressing the spread of rumors regarding vaccination risks and booster doses in the success of vaccination programs and in achieving herd immunity.  Additionally, we formulate an optimal control problem by proposing several strategies, including awareness and anti-rumor programs, to assist country officials in achieving successful vacci