Year: 2022
Author: Hongling Zhou, Lin Shen, Shu Wang
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 1 : pp. 31–48
Abstract
An impulsive integrated pest management system with diffusion is investigated within this paper. The conditions for pest eradication of the impulsive system without natural enemies are established based on the Krein-Rutman theorem and the comparison principle for parabolic equations. Integrated pest management can be achieved at an exponential rate, when the principal eigenvalues of the auxiliary system is large enough. Numerical simulations are presented to demonstrate the theoretical results. A discussion is given at the end.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v35.n1.3
Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 1 : pp. 31–48
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Integrated pest management eigenvalue problem pest control diffusion.