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.

scholarly journals Dynamic Analysis of General Integrated Pest Management Model with Double Impulsive Control

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Yingke Li ◽  
Zhidong Teng ◽  
Kai Wang ◽  
Ahmadjan Muhammadhaji
Keyword(s):  
Periodic Solution ◽  
Integrated Pest Management ◽  
Pest Management ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Threshold Value ◽  
Globally Asymptotically Stable ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Globally Attractive

A general predator-prey model with disease in the prey and double impulsive control is proposed and investigated for the purpose of integrated pest management. By using the Floquet theory, the comparison theorem of impulsive differential equations, and the persistence theory of dynamical systems, we obtain that if threshold valueR0<1, then the susceptible pest eradication periodic solution is globally asymptotically stable and ifR0>1, then the model is permanent. The numerical examples not only illustrate the theoretical results, but also show that when the model is permanent, then it may possess a unique globally attractiveT-periodic solution.

The Pest Management Model with Impulsive Control

2014 ◽  
Vol 519-520 ◽  
pp. 1299-1304 ◽  
Author(s):  
Yan Song ◽  
Xuejuan Wang ◽  
Wei Jiang
Keyword(s):  
Pest Management ◽  
Control Strategy ◽  
Impulsive Control ◽  
Integrated Control ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
Management Model ◽  
Globally Asymptotical Stability ◽  
Pest Eradication ◽  
Floquet Theorem

Based on integrated control strategy with spraying pesticides and releasing natural enemies at different fixed moments, we establish a pest management model with impulsive control. Using Floquet theorem of impulsive differential equations and comparison theorem, we obtain the sufficient conditions of globally asymptotical stability of the pest-eradication periodic solution and permanence of the model.

scholarly journals Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Changtong Li ◽  
Sanyi Tang ◽  
Robert A. Cheke
Keyword(s):  
Periodic Solution ◽  
Integrated Pest Management ◽  
Pest Management ◽  
Pest Control ◽  
Impulsive Control ◽  
Period Doubling ◽  
Dynamical Behaviour ◽  
Period Doubling Bifurcation ◽  
Predator Prey ◽  
Predator Prey Model

Abstract An expectation for optimal integrated pest management is that the instantaneous numbers of natural enemies released should depend on the densities of both pest and natural enemy in the field. For this, a generalised predator–prey model with nonlinear impulsive control tactics is proposed and its dynamics is investigated. The threshold conditions for the global stability of the pest-free periodic solution are obtained based on the Floquet theorem and analytic methods. Also, the sufficient conditions for permanence are given. Additionally, the problem of finding a nontrivial periodic solution is confirmed by showing the existence of a nontrivial fixed point of the model’s stroboscopic map determined by a time snapshot equal to the common impulsive period. In order to address the effects of nonlinear pulse control on the dynamics and success of pest control, a predator–prey model incorporating the Holling type II functional response function as an example is investigated. Finally, numerical simulations show that the proposed model has very complex dynamical behaviour, including period-doubling bifurcation, chaotic solutions, chaos crisis, period-halving bifurcations and periodic windows. Moreover, there exists an interesting phenomenon whereby period-doubling bifurcation and period-halving bifurcation always coexist when nonlinear impulsive controls are adopted, which makes the dynamical behaviour of the model more complicated, resulting in difficulties when designing successful pest control strategies.

scholarly journals Considerations for Insect Learning in Integrated Pest Management

2019 ◽  
Vol 19 (4) ◽  
Author(s):  
Catherine M Little ◽  
Thomas W Chapman ◽  
N Kirk Hillier
Keyword(s):  
Integrated Pest Management ◽  
Pest Management ◽  
Cognitive Abilities ◽  
Insect Pests ◽  
Management Strategies ◽  
Pest Species ◽  
Insect Learning ◽  
Local Ecosystem ◽  
Chemical Pesticides ◽  
Control Insect

AbstractThe past 100 yr have seen dramatic philosophical shifts in our approach to controlling or managing pest species. The introduction of integrated pest management in the 1970s resulted in the incorporation of biological and behavioral approaches to preserve ecosystems and reduce reliance on synthetic chemical pesticides. Increased understanding of the local ecosystem, including its structure and the biology of its species, can improve efficacy of integrated pest management strategies. Pest management strategies incorporating insect learning paradigms to control insect pests or to use insects to control other pests can mediate risk to nontarget insects, including pollinators. Although our understanding of insect learning is in its early stages, efforts to integrate insect learning into pest management strategies have been promising. Due to considerable differences in cognitive abilities among insect species, a case-by-case assessment is needed for each potential application of insect learning within a pest management strategy.

Extension Implementation of Integrated Pest Management Systems

Weed Science ◽  
1982 ◽  
Vol 30 (S1) ◽  
pp. 48-53 ◽  
Author(s):  
B. D. Blair ◽  
J. V. Parochetti
Keyword(s):  
Integrated Pest Management ◽  
Pest Management ◽  
Pest Control ◽  
Control Technique ◽  
Management Systems ◽  
Control Techniques ◽  
Pesticide Management ◽  
Chemical Pesticide ◽  
Environmentally Sound ◽  
Pest Management Systems

A considerable amount of scientific time has been spent defining Integrated Pest Management (IPM). The following is quoted from an Extension Committee on Organization and Policy publication (4): “Integrated Pest Management (IPM) is a system that utilizes all suitable pest control techniques and methods to keep pest populations below economically injurious levels. Each pest control technique must be environmentally sound and compatible with production and user objectives. Integrated Pest Management is more than chemical pesticide management. In many cases it includes biological, cultural, and sanitary control practices for all pest complexes.”

scholarly journals Dynamic Analysis of a Predator-Prey (Pest) Model with Disease in Prey and Involving an Impulsive Control Strategy

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Min Zhao ◽  
Yanzhen Wang ◽  
Lansun Chen
Keyword(s):  
Integrated Pest Management ◽  
Pest Management ◽  
Control Strategy ◽  
Impulsive Control ◽  
Critical Parameters ◽  
Critical Conditions ◽  
Dynamic Complexity ◽  
Predator Prey ◽  
Impulsive Control Strategy ◽  
Disease In Prey

The dynamic behaviors of a predator-prey (pest) model with disease in prey and involving an impulsive control strategy to release infected prey at fixed times are investigated for the purpose of integrated pest management. Mathematical theoretical works have been pursuing the investigation of the local asymptotical stability and global attractivity for the semitrivial periodic solution and population persistent, which depicts the threshold expression of some critical parameters for carrying out integrated pest management. Numerical analysis indicates that the impulsive control strategy has a strong effect on the dynamical complexity and population persistent using bifurcation diagrams and power spectra diagrams. These results show that if the release amount of infective prey can satisfy some critical conditions, then all biological populations will coexist. All these results are expected to be of use in the study of the dynamic complexity of ecosystems.

A NEW MATHEMATICAL MODEL FOR OPTIMAL CONTROL STRATEGIES OF INTEGRATED PEST MANAGEMENT

2007 ◽  
Vol 15 (02) ◽  
pp. 219-234 ◽  
Author(s):  
XINZHU MENG ◽  
ZHITAO SONG ◽  
LANSUN CHEN
Keyword(s):  
Periodic Solution ◽  
Control Problem ◽  
Integrated Pest Management ◽  
Pest Management ◽  
Control Strategy ◽  
Impulsive Control ◽  
Control Strategies ◽  
Economic Damage ◽  
Pest Population ◽  
The Given

A state-dependent impulsive SI epidemic model for integrated pest management (IPM) is proposed and investigated. We shall examine an optimal impulsive control problem in the management of an epidemic to control a pest population. We introduce a small amount of pathogen into a pest population with the expectation that it will generate an epidemic and that it will subsequently be endemic such that the number of pests is no larger than the given economic threshold (ET), so that the pests cannot cause economic damage. This is the biological control strategy given in the present paper. The combination strategy of pulse capturing (susceptible individuals) and pulse releasing (infective individuals) is implemented in the model if the number of pests (susceptible) reaches the ET. Firstly, the impulsive control problem is to drive the pest population below a given pest level and to do so in a manner which minimizes a weighted sum of the cost of using the control. Hence, for a one time impulsive effect we obtain the optimal strategy in terms of total cost such that the number of pests is no larger than the given ET. Secondly, we show the existence of periodic solution with the number of pests no larger than ET, and by using the Analogue of the Poincaré Criterion we prove that it is asymptotically stable under a planned impulsive control strategy. Further, the period T of the periodic solution is calculated, which can be used to estimate how long the pest population will take to return back to its pre-control level. The main feature of the present paper is to apply an SI infectious disease model to IPM, and some pests control strategies are given.

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