Dynamic complexities in a pest control model with birth pulse and harvesting

2016 ◽  
Author(s):  
A. Goel ◽  
S. Gakkhar
Keyword(s):  
Pest Control ◽  
Control Model ◽  
Birth Pulse

Dynamics Analysis of a Filippov Pest Control Model with Time Delay

2021 ◽  
pp. 105865
Author(s):  
Ayman A. Arafa ◽  
Soliman A.A. Hamdallah ◽  
Sanyi Tang ◽  
Yong Xu ◽  
Gamal M. Mahmoud
Keyword(s):  
Time Delay ◽  
Pest Control ◽  
Control Model ◽  
Dynamics Analysis

scholarly journals Dynamics of a Stage Structure Pest Control Model with Impulsive Effects at Different Fixed Time

2009 ◽  
Vol 2009 ◽  
pp. 1-15 ◽  
Author(s):  
Bing Liu ◽  
Ying Duan ◽  
Yinghui Gao
Keyword(s):  
Time Delay ◽  
Pest Control ◽  
Natural Enemies ◽  
Stage Structure ◽  
Threshold Level ◽  
Fixed Time ◽  
Control Model ◽  
Pest Population ◽  
Maturation Time ◽  
Maturation Time Delay

Many existing pest control models, which control pests by releasing natural enemies, neglect the effect that natural enemies may get killed. From this point of view, we formulate a pest control model with stage structure for the pest with constant maturation time delay (through-stage time delay) and periodic releasing natural enemies and natural enemies killed at different fixed time and perform a systematic mathematical and ecological study. By using the comparison theorem and analysis method, we obtain the conditions for the global attractivity of the pest-eradication periodic solution and permanence of the system. We also present a pest management strategy in which the pest population is kept under the economic threshold level (ETL) when the pest population is uniformly permanent. We show that maturation time delay, impulsive releasing, and killing natural enemies can bring great effects on the dynamics of the system. Numerical simulations confirm our theoretical results.

scholarly journals A Pest Control Model with Periodic Coefficients and Impulses

2011 ◽  
Vol 8 ◽  
pp. 506-513 ◽  
Author(s):  
Sujing Wang ◽  
Jiawei Dou ◽  
Lala Lu
Keyword(s):  
Pest Control ◽  
Control Model ◽  
Periodic Coefficients

scholarly journals Oscillation in Pest Population and Its Management: A Mathematical Study

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Samit Bhattacharyya ◽  
Suma Ghosh
Keyword(s):  
Pest Control ◽  
Control Function ◽  
Control Process ◽  
Control Model ◽  
Pest Population ◽  
Optimal Analysis ◽  
Insect Ecology ◽  
And Control ◽  
Special Case

We study the role of predation dynamics in oscillation of pest population in insect ecology. A two-dimensional pest control model (under the use of insecticides) with time delay in predation is considered in this paper. By the Hopf bifurcation theory, we prove the existence of the stable oscillation of the system. We also consider the economic viability of the control process. First we improve the Pontryagin maximum principle (PMP) where the delay in the system is sufficiently small and control function is linear, and then we apply the improved version of PMP to perform the optimal analysis of the pest control model as a special case.

Role of latency period in viral infection: A pest control model

2007 ◽  
Vol 210 (2) ◽  
pp. 619-646 ◽  
Author(s):  
S. Ghosh ◽  
S. Bhattacharyya ◽  
D.K. Bhattacharya
Keyword(s):  
Viral Infection ◽  
Pest Control ◽  
Latency Period ◽  
Control Model

Mathematical Study of Hybrid Impulsive Pest Control Model with Stage Structuring

2018 ◽  
Vol 85 (3-4) ◽  
pp. 265
Author(s):  
Bhanu Gupta ◽  
Amit Sharma ◽  
Sanjay K. Srivastava
Keyword(s):  
Pest Control ◽  
Natural Enemies ◽  
Perturbation Technique ◽  
Dynamical Behavior ◽  
Hybrid Approach ◽  
Control Model ◽  
Point Of View ◽  
Impulsive Effect ◽  
Mature Adult ◽  
The Rich

It is a need of time to use hybrid approach (biological and chemical) to control agriculture pests effectively, economically and safely. Most of the pests and natural enemies in their life history goes through two stages namely immature larva and mature adult. From this biological point of view, we purpose a pest control model with stage structuring in pests and natural enemies in the presence of impulsively released natural enemy and chemical pesticides. Using Floquet theory and small ampli- tude perturbation technique, the local stability of periodic solutions are discussed. The suffcient conditions for the global attractively of pest- extinction periodic solution and permanence of the system are obtained by using comparison technique of differential equations with impulsive effect. At last an extensive simulation is done to verify the theoretical ndings and to see the rich dynamical behavior of the system.

A pest control model with state-dependent impulses

2015 ◽  
Vol 08 (01) ◽  
pp. 1550009 ◽  
Author(s):  
Xuehui Ji ◽  
Sanling Yuan ◽  
Lansun Chen
Keyword(s):  
Periodic Solution ◽  
Pest Control ◽  
Control Model ◽  
Point Of View ◽  
Successor Function ◽  
Pest Population ◽  
Single Measure ◽  
State Dependent ◽  
Two Measures ◽  
Order One Periodic Solution

In this paper, a pest control model with state-dependent impulses is firstly established, which relies on releasing of natural enemies, together with spraying pesticides. By using the successor function of differential equation geometry rules, the existence of order one periodic solution is discussed. According to the Analogue of Poincaré's Criterion, the orbitally asymptotic stability of the order one periodic solution is obtained. Furthermore, we investigated the global attractor of the system. From a biological point of view, our results indicate that: (1) the pest population can be controlled below some threshold; (2) compared to single measure, it is more efficient to take two measures for reducing the level of the pests.

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