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Analysis of the Mathematical Model for the Spread of Pine Wilt Disease
2013
Journal of Applied Mathematics
This paper formulates and analyzes a pine wilt disease model. Mathematical analyses of the model with regard to invariance of nonnegativity, boundedness of the solutions, existence of nonnegative equilibria, permanence, and global stability are presented. It is proved that the global dynamics are determined by the basic reproduction numberℛ0and the other valueℛcwhich is larger thanℛ0. Ifℛ0andℛcare both less than one, the disease-free equilibrium is asymptotically stable and the pine wilt
doi:10.1155/2013/184054
fatcat:m3zlrmq5l5gezlxwvuioztygdq