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\begin{document}

\title{Fractional SZIR Model of Zombies Infection}



\author[1]{Hossein Jafari}%
\author[2]{Pranay Goswami}%
\author[3]{RAVI DUBEY}%
\author[3]{SHIVANI  SHARMA}%
\author[4]{Arun  Chaudhary}%
\affil[1]{University of South Africa - Florida Campus}%
\affil[2]{School of Liberal Studies, School of Liberal Studies, Ambedkar University Delhi-110006, India}%
\affil[3]{Amity University Rajasthan}%
\affil[4]{Department of Mathematics, Rajdhani College, University of Delhi, Delhi 110015, India }%


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  \date{May 22, 2024}


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\begin{abstract}
The paper is concerned with the SIZR mathematical model for an outbreak
of zombie infection with time-dependent infection rate. This class of
the SIZR model involves equations that relate the susceptible S(t), the
infected I(t), the zombie Z(t), and removed population R(t). The well
poseness of the model is presented. The proposed model is then
outstretched to the fractional order mathematical model with three
different derivative operators i.e., Caputo, Caputo-Fabrizio, and
Atangana-Baleanu fractional derivative operator. The conditions under
which the model has a unique solution are established for different
derivative operators. Using the numerical scheme which was proposed by
Atangana and Toufik the numerical solutions are presented for the
different fractional derivative operators.%
\end{abstract}%



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