TY - JOUR
T1 - Integrated Pest Management System with Impulsive Control of Spatial Heterogeneity
AU - Zhou , Hongling
AU - Shen , Lin
AU - Wang , Shu
JO - Journal of Partial Differential Equations
VL - 1
SP - 31
EP - 48
PY - 2021
DA - 2021/10
SN - 35
DO - http://doi.org/10.4208/jpde.v35.n1.3
UR - https://global-sci.org/intro/article_detail/jpde/19908.html
KW - Integrated pest management, eigenvalue problem, pest control, diffusion.
AB - <p style="text-align: justify;">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.</p>