Dynamics of a pest management model with mate‐finding Allee effect induced by sterile release

2021 ◽  
Author(s):  
Zongmin Yue ◽  
Jiao Wang
Keyword(s):  
Pest Management ◽  
Allee Effect ◽  
Management Model ◽  
Mate Finding

scholarly journals A Pest Management Model with Stage Structure and Impulsive State Feedback Control

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Guoping Pang ◽  
Zhiqing Liang ◽  
Weijian Xu ◽  
Lijie Li ◽  
Gang Fu
Keyword(s):  
Periodic Solution ◽  
Feedback Control ◽  
Pest Management ◽  
State Feedback ◽  
Stage Structure ◽  
State Feedback Control ◽  
Management Model ◽  
Continuous Systems ◽  
Impulsive State Feedback Control ◽  
The Stability

A pest management model with stage structure and impulsive state feedback control is investigated. We get the sufficient condition for the existence of the order-1 periodic solution by differential equation geometry theory and successor function. Further, we obtain a new judgement method for the stability of the order-1 periodic solution of the semicontinuous systems by referencing the stability analysis for limit cycles of continuous systems, which is different from the previous method of analog of Poincarè criterion. Finally, we analyze numerically the theoretical results obtained.

A logistic two-sex model with mate-finding Allee effect

2019 ◽  
Vol 12 (8) ◽  
pp. 1343-1355
Author(s):  
Elizabeth Anderson ◽  
Daniel Maxin ◽  
Jared Ott ◽  
Gwyneth Terrett
Keyword(s):  
Allee Effect ◽  
Mate Finding

Experimental Validation of a Pest Management Model

1976 ◽  
Vol 59 (2) ◽  
pp. 135 ◽  
Author(s):  
W. W. Menke ◽  
G. L. Greene
Keyword(s):  
Pest Management ◽  
Experimental Validation ◽  
Management Model

scholarly journals Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects

2013 ◽  
Vol 2013 ◽  
pp. 1-18 ◽  
Author(s):  
Wencai Zhao ◽  
Tongqian Zhang ◽  
Xinzhu Meng ◽  
Yang Yang
Keyword(s):  
Differential Equation ◽  
Pest Management ◽  
Impulsive Differential Equation ◽  
Dynamical Analysis ◽  
Management Model ◽  
State Dependent ◽  
Existence And Stability ◽  
Focus Point ◽  
New Pest ◽  
Ipm Strategy

A new pest management mathematical model with saturated growth is proposed. The integrated pest management (IPM) strategy by introducing two state dependent pulses into the model is considered. Firstly, we analyze singular points of the model qualitatively and get the condition for focus point. Secondly, by using geometry theory of impulsive differential equation, the existence and stability of periodic solution of the system are discussed. Lastly, some examples and numerical simulations are given to illustrate our results.

scholarly journals Integrated pest management for Jatropha Carcus plant: An Impulsive control approach

2021 ◽  
Author(s):  
Jahangir Chowdhury ◽  
Fahad Al Basir ◽  
Xianbing Cao ◽  
Priti Roy
Keyword(s):  
Integrated Pest Management ◽  
Pest Management ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Management Model ◽  
Asymptotically Stable ◽  
Control Approach ◽  
Maximum Value ◽  
Chemical Pesticide ◽  
Chemical Pesticides

In this research, an integrated pest management model using impulsive differential equations has been investigated for Jatropha curcas plantation to control its natural pests through relying on the release of infective pest individuals and spraying of chemical pesticides. Using Floquet’s theory and the small amplitude perturbation method, it is obtained that there exists an asymptotically stable susceptible pest eradication periodic solution when the release amount of infected pest is larger than the critical maximum value (or strength of chemical pesticide spraying is larger than some critical maximum value). Also, we have established the permanence of the system. After comparison, it is explored that integrated pest management is more effective than biological control or chemical control. Finally, verify the analytical results through numerical simulation.

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