IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v73y2008i2p181-197.html
   My bibliography  Save this article

Multiple attractors of host–parasitoid models with integrated pest management strategies: Eradication, persistence and outbreak

Author

Listed:
  • Tang, Sanyi
  • Xiao, Yanni
  • Cheke, Robert A.

Abstract

Host–parasitoid models including integrated pest management (IPM) interventions with impulsive effects at both fixed and unfixed times were analyzed with regard to host-eradication, host–parasitoid persistence and host-outbreak solutions. The host-eradication periodic solution with fixed moments is globally stable if the host’s intrinsic growth rate is less than the summation of the mean host-killing rate and the mean parasitization rate during the impulsive period. Solutions for all three categories can coexist, with switch-like transitions among their attractors showing that varying dosages and frequencies of insecticide applications and the numbers of parasitoids released are crucial. Periodic solutions also exist for models with unfixed moments for which the maximum amplitude of the host is less than the economic threshold. The dosages and frequencies of IPM interventions for these solutions are much reduced in comparison with the pest-eradication periodic solution. Our results, which are robust to inclusion of stochastic effects and with a wide range of parameter values, confirm that IPM is more effective than any single control tactic.

Suggested Citation

  • Tang, Sanyi & Xiao, Yanni & Cheke, Robert A., 2008. "Multiple attractors of host–parasitoid models with integrated pest management strategies: Eradication, persistence and outbreak," Theoretical Population Biology, Elsevier, vol. 73(2), pages 181-197.
  • Handle: RePEc:eee:thpobi:v:73:y:2008:i:2:p:181-197
    DOI: 10.1016/j.tpb.2007.12.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0040580907001335
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tpb.2007.12.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. J. C. Headley, 1968. "Estimating the Productivity of Agricultural Pesticides," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 50(1), pages 13-23.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tang, Guangyao & Qin, Wenjie & Tang, Sanyi, 2014. "Complex dynamics and switching transients in periodically forced Filippov prey–predator system," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 13-23.
    2. Xiang, Zhongyi & Tang, Sanyi & Xiang, Changcheng & Wu, Jianhong, 2015. "On impulsive pest control using integrated intervention strategies," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 930-946.
    3. Yang, Jin & Tang, Sanyi & Tan, Yuanshun, 2016. "Complex dynamics and bifurcation analysis of host–parasitoid models with impulsive control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 522-532.
    4. Wang, Xia & Xu, Zihui & Tang, Sanyi & Cheke, Robert A., 2017. "Cumulative effects of incorrect use of pesticides can lead to catastrophic outbreaks of pests," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 7-19.
    5. Liang, Juhua & Tang, Sanyi & Cheke, Robert A., 2016. "Pure Bt-crop and mixed seed sowing strategies for optimal economic profit in the face of pest resistance to pesticides and Bt-corn," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 6-21.
    6. Lirong Liu & Changcheng Xiang & Guangyao Tang & Yuan Fu, 2019. "Sliding Dynamics of a Filippov Forest-Pest Model with Threshold Policy Control," Complexity, Hindawi, vol. 2019, pages 1-17, November.
    7. Tang, Sanyi & Xiao, Yanni & Cheke, Robert A., 2010. "Dynamical analysis of plant disease models with cultural control strategies and economic thresholds," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 894-921.
    8. Zhao, Tingting & Xiao, Yanni, 2015. "Plant disease models with nonlinear impulsive cultural control strategies for vegetatively propagated plants," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 107(C), pages 61-91.
    9. Jiménez, María Fernanda & Blé, Gamaliel & Falconi, Manuel, 2022. "A biocontrol agent as a commensal in a plant-pest interaction," Ecological Modelling, Elsevier, vol. 468(C).
    10. Peipei Wang & Wenjie Qin & Guangyao Tang, 2019. "Modelling and Analysis of a Host-Parasitoid Impulsive Ecosystem under Resource Limitation," Complexity, Hindawi, vol. 2019, pages 1-12, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alfons Lansink & Elvira Silva, 2004. "Non-Parametric Production Analysis of Pesticides Use in the Netherlands," Journal of Productivity Analysis, Springer, vol. 21(1), pages 49-65, January.
    2. Lichtenberg, Erik & Zilberman, David & Archibald, Sandra O., 1990. "Economics and Pesticides," Working Papers 197750, University of Maryland, Department of Agricultural and Resource Economics.
    3. Jianhua Wang & May Chu & Yuting Ma, 2018. "Measuring Rice Farmer’s Pesticide Overuse Practice and the Determinants: A Statistical Analysis Based on Data Collected in Jiangsu and Anhui Provinces of China," Sustainability, MDPI, vol. 10(3), pages 1-17, March.
    4. Jikun Huang & Fangbin Qiao & Linxiu Zhang & Scott Rozelle, 2000. "Farm Pesticide, Rice Production, and Human Health," EEPSEA Research Report rr2000051, Economy and Environment Program for Southeast Asia (EEPSEA), revised May 2000.
    5. Qiao, Fangbin, 2015. "Fifteen Years of Bt Cotton in China: The Economic Impact and its Dynamics," World Development, Elsevier, vol. 70(C), pages 177-185.
    6. Antle, John M., 1981. "Implications Of Sequential Decision Making For Specification And Estimation Of Production Models," Working Papers 225694, University of California, Davis, Department of Agricultural and Resource Economics.
    7. Dirksmeyer, W., 2008. "Ist eine Reduzierung des Pflanzenschutzmitteleinsatzes im Freilandgemüsebau möglich? Ergebnisse eines bioökonomischen Simulationsmodells," Proceedings “Schriften der Gesellschaft für Wirtschafts- und Sozialwissenschaften des Landbaues e.V.”, German Association of Agricultural Economists (GEWISOLA), vol. 43, March.
    8. Robert G. Chambers & Erik Lichtenberg, 1994. "Simple Econometrics of Pesticide Productivity," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(3), pages 407-417.
    9. Trindade, F. & Fulginiti, L. & Perrin, R., 2018. "Irrigation and Climate Effects on Land Productivity in the U.S. Central Plains," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277264, International Association of Agricultural Economists.
    10. Alain Carpentier & Robert D. Weaver & . American Agricultural Economics Association, 1995. "Heterogeneity bias, panel data and the productivity of pesticides," Post-Print hal-02299673, HAL.
    11. Archer, David Walter, 1995. "Self-insurance and self-protection in weed control: implications for nonpoint source pollution," ISU General Staff Papers 1995010108000012033, Iowa State University, Department of Economics.
    12. Farrell, Kenneth R. & Capalbo, Susan Marie, 1985. "Natural Resource and Environmental Dimensions of Agricultural Development," 1985 Conference, August 26-September 4, 1985, Malaga, Spain 182571, International Association of Agricultural Economists.
    13. Cashman, Christopher M. & Martin, Marhsall A. & McCarl, Bruce A., 1980. "Economic Consequences Of Restrictions On Herbicides Currently Used On Indiana Farms," 1980 Annual Meeting, July 27-30, Urbana-Champaign, Illinois 278866, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    14. Archibald, Sandra O. & McCorkle, Chester O. Jr & Howitt, Richard E., 1986. "A Dynamic Analysis Of Production Externalities : Pesticide Resistance In California Cotton," Working Papers 225802, University of California, Davis, Department of Agricultural and Resource Economics.
    15. Vernon W. Ruttan, 1971. "Technology and the Environment," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 53(5), pages 707-717.
    16. Lawrance, Neil A. & Angus, Robert C., 1974. "An Evaluation of lnundative Pest Control Versus Integrated Cotton Pest Management," WAEA/ WFEA Conference Archive (1929-1995) 323783, Western Agricultural Economics Association.
    17. Brethour, Cher & Weersink, Alfons, 2003. "Rolling the dice: on-farm benefits of research into reducing pesticide use," Agricultural Systems, Elsevier, vol. 76(2), pages 575-587, May.
    18. Robert Romain & Rémy Lambert & Renée Michaud & Claude Lapointe, 2002. "Impact des variables et pratiques agronomiques sur la réduction des dommages: le cas de la pomme de terre au Québec," Post-Print hal-01201029, HAL.
    19. Osteen, Craig D. & Szmedra, Philip I., 1989. "Agricultural Pesticide Use Trends and Policy Issues," Agricultural Economic Reports 308081, United States Department of Agriculture, Economic Research Service.
    20. Alfons Oude Lansink & Alain Carpentier, 2001. "Damage Control Productivity: An Input Damage Abatement Approach," Journal of Agricultural Economics, Wiley Blackwell, vol. 52(3), pages 11-22, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:thpobi:v:73:y:2008:i:2:p:181-197. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/intelligence .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.