caa a22 4500 445361484 CHVBK 20180317142916.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s11071-010-9828-x doi (NATIONALLICENCE)springer-10.1007/s11071-010-9828-x Nonlinear analysis of a microbial pesticide model withimpulsivestate feedback control [Elektronische Daten] [Tieying Wang, Lansun Chen] In this paper, a new mathematical model for the entomopathogenic nematode attacking pests with impulsive state feedback control is considered. By using the Poincaré map, we obtain that the system with impulsive state feedback control has a periodic solution of order one. Sufficient conditions for existence and stability of the order one periodic solution are given. Specifically, the system has a singular order one periodic solution. In some cases, it is possible that the system may also have an order two periodic solution. Our results show that the control measure is effective and reliable. Springer Science+Business Media B.V., 2010 Entomopathogenic nematode nationallicence Impulsive effect nationallicence State feedback control nationallicence Poincaré map nationallicence Singular periodic solution nationallicence Wang Tieying School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, P.R. China aut Chen Lansun School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, P.R. China aut Nonlinear Dynamics Springer Netherlands 65/1-2(2011-07-01), 1-10 0924-090X 65:1-2<1 2011 65 11071 https://doi.org/10.1007/s11071-010-9828-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9828-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Tieying School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, P.R. China aut NATIONALLICENCE 700 1- Chen Lansun School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, P.R. China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/1-2(2011-07-01), 1-10 0924-090X 65:1-2<1 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer