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- W2370163179 abstract "Based on the classical epidemic model,a new forest epidemic model in which the Monochamus Alternatus Hope is linked with Pine tree is established.The expression of the critical threshold is presented.Dynamical property of the system model with two populations is studied based on Lyapunov stability theorem and Routh-Hurwitz criterion.It is proved that,when the value of critical threshold less than 1,the disease-free equilibrium point is globally asymptotically stable.Further more,Bursaphelenchus Xylophilus is used to construct the Lyapunov function,and the stability theory of Lyapunov function is used to prove that the equilibrium point is Global asymptotic stable.It explains that the Bursaphelenchus Xylophilus wiil eventually disappear.when the value of critical threshold larger than 1,the disease and insect pests equilibrium point is locally asymptotically stable An appropriate Dulac function should be choosed and Bendixson-Dulac creterion is used to prove that the limit cycle in this model does not exist.It explains that the disease and insect pests equilibrium point is globally asymptotically stable." @default.
- W2370163179 created "2016-06-24" @default.
- W2370163179 creator A5064084380 @default.
- W2370163179 date "2010-01-01" @default.
- W2370163179 modified "2023-09-26" @default.
- W2370163179 title "Qualitative analysis of nonlinear model of forest insect pests with two populations" @default.
- W2370163179 hasPublicationYear "2010" @default.
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