scholarly journals Integrated Pest Management System with Impulsive Control of Spatial Heterogeneity

2022 ◽  
Vol 35 (1) ◽  
pp. 31-48
Author(s):  
Hongling Zhou
Keyword(s):  
Spatial Heterogeneity ◽  
Integrated Pest Management ◽  
Pest Management ◽  
Management System ◽  
Impulsive Control

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 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.

scholarly journals Formulation of Entomopathogenic Nematodes for the Control of Key Pests of Grapevine: A Review

2021 ◽  
Vol 42 (2) ◽  
Author(s):  
A. Nxitywa ◽  
A.P. Malan
Keyword(s):  
Integrated Pest Management ◽  
Pest Management ◽  
Management System ◽  
Large Scale ◽  
Entomopathogenic Nematodes ◽  
Insect Pests ◽  
Good Condition ◽  
Poor Quality ◽  
Factors Affecting ◽  
Chemical Residues

Entomopathogenic nematodes (EPNs) are insect parasites that are used successfully as biological controlagents against key pest insects of grapevine. To achieve low chemical residues and the sustainableproduction of grapes, it is important that biological control agents such as entomopathogenic nematodesfor the control of grapevine insect pests be incorporated in an integrated pest management system forgrape production. However, the commercialisation and large-scale use of EPNs is limited by their shortshelf life in formulations and in storage, thus leading to poor quality and reduced efficacy against insectsin the field. In South Africa, interest in the use of EPNs within an integrated pest management system hasgrown over the past two decades, therefore developing a formulation technique with an acceptable storagesurvival period, while maintaining infectivity, is essential. Moreover, the successful control of insects usingEPNs is only achievable when the formulated product reaches the end user in good condition. This reviewis focused on the different types of formulations required for storage and ease of transport, together withthe application formulation for above-ground pests and the factors affecting them. The quality assessment,storage and handling of formulated EPNs are also discussed.

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.

Evaluating an insect pest management system in an irrigated rice environment

1995 ◽  
Vol 16 (1) ◽  
pp. 93-101
Author(s):  
D. Dakouo ◽  
S. Nacro ◽  
R. Post ◽  
Y. Traoré ◽  
S. Nokoe ◽  
...  
Keyword(s):  
Burkina Faso ◽  
Integrated Pest Management ◽  
Pest Management ◽  
Management System ◽  
Insect Pest ◽  
Insect Damage ◽  
Insect Pest Management ◽  
Irrigated Rice ◽  
Considerable Advantage ◽  
Application Methods

AbstractThe efficiency and profitability of an integrated pest management system consisting of a phytosanitary survey and threshold interventions (based on levels of insect damage) was tested at the Vallée du Kou irrigated rice scheme in Burkina Faso, for two consecutive crop seasons in 1987. There was a considerable advantage in cost, number of insecticidal applications and yield of a threshold intervention-based system over arbitrary or routine insecticidal application methods. The proposed method is considered to be environmentally friendly.

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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