caa a22 4500 606233377 CHVBK 20210128101231.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10883-015-9283-6 doi (NATIONALLICENCE)springer-10.1007/s10883-015-9283-6 Das Krishna Department of Mathematics, Mahadevananda Mahavidyalaya, Monirampore, P.O.-Barrackpore, 120, Kolkata, India aut A Study of Chaotic Dynamics and Its Possible Control in a Predator-Prey Model with Disease in the Predator [Elektronische Daten] [Krishna Das] The effect of parasites and pathogens in the prey population received a lot of attention, but disease in the predator population has been studied comparatively little in literature. In this study, we have considered a predator-prey model with disease in the predator population. Here, we have analyzed the local stability of the model system around the equilibria. We have derived the ecological as well as the disease basic reproduction numbers and analyzed the community structure of the model system by these numbers. Our numerical results reveal that disease introduction in the predator population produces chaotic dynamics. We have observed stable focus, limit cycles, period doubling, and chaos for variation of the force of infection in the predator population. It is also observed that half-saturation constants are responsible for occurrence and control of chaos. It is found that chaos may be prevented by increasing the predation efficiency of the infected predator. Springer Science+Business Media New York, 2015 Disease in predator nationallicence Chaos nationallicence Stable nationallicence Hopf bifurcation nationallicence Reproduction number nationallicence Half-saturation constant nationallicence Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/4(2015-10-01), 605-624 1079-2724 21:4<605 2015 21 10883 https://doi.org/10.1007/s10883-015-9283-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10883-015-9283-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Das Krishna Department of Mathematics, Mahadevananda Mahavidyalaya, Monirampore, P.O.-Barrackpore, 120, Kolkata, India aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/4(2015-10-01), 605-624 1079-2724 21:4<605 2015 21 10883