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has been cited by the following article:

• TITLE: Dynamics of a Nonautonomous Plant Disease Model with General Nonlinear Incidence Rate and Time-Varying Impulse

  AUTHORS: Jianping Wang, Xue Zhang, Juanjuan Wang, Quanben Sun

  KEYWORDS: Plant Disease, Nonautonomous Model, Time-Varying Impulse, General Nonlinear Incidence, Permanence

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.10, October 29, 2019

  ABSTRACT: In this paper, for controlling the spread of plant diseases, a nonautonomous SEIS (Susceptible → Exposed → Infectious → Susceptible) epidemic model with a general nonlinear incidence rate and time-varying impulsive control strategy is proposed and investigated. This novel model could result in an objective criterion on how to control plant disease transmission by replanting of healthy plants and removal of infected plants. Using the method of small amplitude perturbation, the sufficient conditions under which guarantee the globally attractive of the disease-free periodic solution and the permanence of the disease are obtained, that is, the disease dies out if R12>1.