Threshold control strategy for a Filippov model with group defense of pests and a constant-rate release of natural enemies-Reference-Cited by-同舟云学术

Threshold control strategy for a Filippov model with group defense of pests and a constant-rate release of natural enemies

Published:2023 Issue:7 Volume:20 Page:12076-12092
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Kang Baolin¹,Hou Xiang²,Liu Bing¹

Affiliation:

1. College of Mathematics and Information Science, Anshan Normal University, Anshan 114007, China

2. Research Center for Theoretical Ecology, School of Geography and Environment, Jiangxi Normal University, Nanchang 330022, China

Abstract

<abstract><p>In this paper, we establish an integrated pest management Filippov model with group defense of pests and a constant rate release of natural enemies. First, the dynamics of the subsystems in the Filippov system are analyzed. Second, the dynamics of the sliding mode system and the types of equilibria of the Filippov system are discussed. Then the complex dynamics of the Filippov system are investigated by using numerical analysis when there is a globally asymptotically stable limit cycle and a globally asymptotically stable equilibrium in two subsystems, respectively. Furthermore, we analyze the existence region of a sliding mode and pseudo equilibrium, as well as the complex dynamics of the Filippov system, such as boundary equilibrium bifurcation, the grazing bifurcation, the buckling bifurcation and the crossing bifurcation. These complex sliding bifurcations reveal that the selection of key parameters can control the population density no more than the economic threshold, so as to prevent the outbreak of pests.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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