caa a22 4500 445360631 CHVBK 20180317142914.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s11071-010-9805-4 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9805-4 Effect of delay on a predator-prey model with parasitic infection [Elektronische Daten] [Pei Yongzhen, Li Shuping, Li Changguo] In the paper an eco-epidemic system with delay and parasitic infection in the prey is investigated. The conditions for asymptotic stability of steady states are derived and the length of the delay preserving the stability is also estimated. Further, the criterion for existence of Hopf-type small amplitude periodic oscillations of the predator and prey biomass is derived. Numerical results indicate that the delay does not affect the stability of the system in the process but makes all populations oscillate more intensively. In addition, the results show that the recovery makes the levels of the infected prey and the predator become lower but makes the sound prey higher in limit time. Springer Science+Business Media B.V., 2010 Time delay nationallicence Parasitic infection nationallicence Asymptotic stability nationallicence Bifurcation nationallicence Oscillations nationallicence Yongzhen Pei School of Science, Tianjin Polytechnic University, 300160, Tianjin, China aut Shuping Li School of Science, Tianjin Polytechnic University, 300160, Tianjin, China aut Changguo Li Department of Basic Science of Institute of Military Traffic, 300161, Tianjin, China aut Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 311-321 0924-090X 63:3<311 2011 63 11071 https://doi.org/10.1007/s11071-010-9805-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9805-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Yongzhen Pei School of Science, Tianjin Polytechnic University, 300160, Tianjin, China aut NATIONALLICENCE 700 1- Shuping Li School of Science, Tianjin Polytechnic University, 300160, Tianjin, China aut NATIONALLICENCE 700 1- Changguo Li Department of Basic Science of Institute of Military Traffic, 300161, Tianjin, China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/3(2011-02-01), 311-321 0924-090X 63:3<311 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer