Models for Pest Control Using Predator Release, Habitat Management and Pesticide Release in Combination

Dong-qin, Zhou; Tian, Yongchao; Yao, Xia; Zhu, Yan; Cao, Weixing

doi:10.2307/2403471

Cited by 102 publications

(67 citation statements)

References 12 publications

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“…Undoubtedly, mathematical modelling is one of the key tools for understanding the interactions among pest, natural enemies and pesticides (Barclay, 1982;Barlow et al, 1996). Recently, continuous and discrete predator-prey models concerning IPM strategies have been developed and investigated (Barclay, 1982;Barclay and van den Diressche, 1977;Carpenter, 1981;Hassell, 1984;May, 1978;Tang and Chen, 2004;Tang andCheke, 2005, 2008).…”

Section: Accepted Manuscriptmentioning

confidence: 99%

“…Recently, continuous and discrete predator-prey models concerning IPM strategies have been developed and investigated (Barclay, 1982;Barclay and van den Diressche, 1977;Carpenter, 1981;Hassell, 1984;May, 1978;Tang and Chen, 2004;Tang andCheke, 2005, 2008). When insecticide timing also leads to the death of parasitoids, discrete host-parasitoid models have been proposed and four different cases have been investigated according to the timing of application 9 peer-00585804, version 1 -14 Apr 2011…”

Section: Accepted Manuscriptmentioning

confidence: 99%

“…In extreme cases of such antagonism, often called resurgence, pest populations may be increased by the application of insecticides which kill both the pest and their natural enemies (Barclay, 1982;Debach, 1974;Ruberson, 1998). So it is important to know how such antagonistic pesticides affect the outcomes of pest control measures.…”

Section: Introductionmentioning

confidence: 99%

“…Barclay (1982), Barlow et al (1996) and Barclay and van den Diressche (1977) have developed continuous ODE models, with coupled predator and pest populations, both of which are affected by insecticides. Carpenter (1981) has developed a similar model for the interaction between pests, pathogens and insecticides.…”

Section: Introductionmentioning

confidence: 99%

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Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases

Tang

Cheke

2010

Journal of Theoretical Biology

109

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. peer-00585804, version 1 -14 Apr 2011Author manuscript, published in "Journal of Theoretical Biology 264, 2 (2010) 623" DOI : 10.1016/j.jtbi.2010.02.034 A c c e p t e d m a n u s c r i p t A c c e p t e d m a n u s c r i p tAbstract Many factors including pest natural enemy ratios, starting densities, timings of natural enemy releases, dosages and timings of insecticide applications and instantaneous killing rates of pesticides on both pests and natural enemies can affect the success of IPM control programmes. To address how such factors influence successful pest control, hybrid impulsive pest-natural enemy models with different frequencies of pesticide sprays and natural enemy releases were proposed and analyzed. With releasing both more or less frequent than the sprays, a stability threshold condition for a pest eradication periodic solution is provided.Moreover, the effects of times of spraying pesticides (or releasing natural enemies) and control tactics on the threshold condition were investigated with regard to the extent of depression or resurgence resulting from pulses of pesticide applications.Multiple attractors from which the pest population oscillates with different amplitudes can coexist for a wide range of parameters and the switch-like transitions among these attractors showed that varying dosages and frequencies of insecticide applications and the numbers of natural enemies released are crucial.To see how the pesticide applications could be reduced, we developed a model involving periodic releases of natural enemies with chemical control applied only when the densities of the pest reached the given Economic Threshold. The results indicate that the pest outbreak period or frequency largely depends on the initial densities and the control tactics.

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Section: Accepted Manuscriptmentioning

confidence: 99%

Section: Accepted Manuscriptmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases

Tang

Cheke

2010

Journal of Theoretical Biology

109

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“…The assumptions (B1) and (B2) hold, by construction, for (A, B, F ) and K for every A ∈ A and B, F , and K given by (4.5). Moreover, assumption (B3) holds with (6,5)th entry equal to zero. For the following numerical simulation we take ψ = ψ 3 from (4.3) and φ 1 , φ 2 , and φ 3 in (4.5a) given by (4.5c)…”

Section: Examplementioning

confidence: 99%

Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management

Guiver¹,

Edholm²,

Jin³

et al. 2016

SIAM J. Appl. Math.

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Abstract. Pest management is vitally important for modern arable farming, but models for pest species are often highly uncertain. In the context of pest management, control actions are naturally described by a nonlinear feedback that is generally unknown, which thus motivates a robust control approach. We argue that adaptive approaches are well suited for the management of pests and propose a simple high-gain adaptive tuning mechanism so that the nonlinear feedback achieves exponential stabilization. Furthermore, a switched adaptive controller is proposed, cycling through a set of given control actions, that also achieves global asymptotic stability. Such a model in practice allows for the possibility of rotating between different courses of management action. In developing our control strategies we appeal to comparison and monotonicity arguments. Interestingly, componentwise nonnegativity of the model, combined with an irreducibility assumption, implies that several issues typically associated with high-gain adaptive controllers do not arise and usual high-gain structural assumptions are not required.

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Integration of chemical and biological control systems for arthropods: Evaluation in a multitrophic context

Wright

Verkerk

1995

Pestic. Sci.

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The methods used to evaluate and categorise the effects of pesticides on beneficial arthropods are reviewed, including the potential significance of indirect, 'sub-lethal' activity and the importance of bioavailability of pesticides under semi-field or field conditions. Interspecific and intraspecific differences in the susceptibility of natural enemies (parasitoids and predators) to pesticides are considered, including the use of resistant strains in Integrated Pest Management (IPM) systems. The potential impact of pesticide resistance in the target pest on its natural enemies is also discussed. The need to assess the influence of the host plant/cultivar on the efficacy of pesticides for use in integrated control programmes (ditrophic effects) and of the possible effects of such chemicals on host plant/cultivar-pest-parasitoid systems (tritrophic effects) are then described with specific reference to the diamondback moth and key endolarval parasitoids. Finally, the potential for manipulation of tritrophic interactions to enhance parasitism by application of low doses of toxicants is demonstrated.

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Models for Pest Control Using Predator Release, Habitat Management and Pesticide Release in Combination

Cited by 102 publications

References 12 publications

Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases

Optimum timing for integrated pest management: Modelling rates of pesticide application and natural enemy releases

Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management

Integration of chemical and biological control systems for arthropods: Evaluation in a multitrophic context

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