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For the purpose of studying the complex dynamics generated by the presence of infection and the time-fractional-derivative we split our study into two cases. The first one is devoted to study the effect of a non-selective hunting on the spread of the disease, where the local stability of the equilibria is investigated. Further the backward bifurcation is obtained concerning basic reproduction rate of the infection. The second case is for explaining the impact of selecting the weakest infected prey on the edge of the herd by a predator on the prevalence of the infection, where the local behavior is scrutinized. Moreover, for the graphical representation part, a numerical simulation scheme has been achieved using the Caputo fractional derivative operator.<\/jats:p>","DOI":"10.1142\/s1793962321500239","type":"journal-article","created":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T10:48:27Z","timestamp":1609498107000},"page":"2150023","source":"Crossref","is-referenced-by-count":9,"title":["Impact of predation in the spread of an infectious disease with time fractional derivative and social behavior"],"prefix":"10.1142","volume":"12","author":[{"given":"Soufiane","family":"Bentout","sequence":"first","affiliation":[{"name":"Department of Mathematics and Informatics, Belhadj Bouchaib University Center of Ain Temouchent, BP 284 RP, 46000, Algeria"},{"name":"Laboratoire d\u2019Analyse Non Lin\u00e9aire et Math\u00e9matiques Appliqu\u00e9es, Universit\u00e9 de Tlemcen, Tlemcen, Algeria"}]},{"given":"Behzad","family":"Ghanbari","sequence":"additional","affiliation":[{"name":"Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran"},{"name":"Department of Biomedical Engineering, Faculty of Engineering and Naturel Sciences, Bah\u00e7e\u015fehir University, 34349 Istanbul, Turkey"}]},{"given":"Salih","family":"Djilali","sequence":"additional","affiliation":[{"name":"Laboratoire d\u2019Analyse Non Lin\u00e9aire et Math\u00e9matiques Appliqu\u00e9es, Universit\u00e9 de Tlemcen, Tlemcen, Algeria"},{"name":"Faculty of Exact and Computer Sciences, Mathematic Department, Hassiba Benbouali University, Chlef, Algeria"}]},{"given":"Lakshmi Narayan","family":"Guin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Visva-Bharati, Santiniketan-731 235, West Bengal, India"}]}],"member":"219","published-online":{"date-parts":[[2021,1,29]]},"reference":[{"key":"S1793962321500239BIB001","first-page":"21","volume":"26","author":"Lotka A. 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