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Discrete Host-Pathogen Models with Integrated Control Tactics

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
2
DOI:
10.3969/j.issn.1001-9626.2008.02.001
Key Word:
宿主病原体模型;IPM;经济临界;脉冲差分方程;宿主爆发;Host-pathogen model;IPM;Economic threshold;Impulsive difference equations;Host-outbreak

Abstract: Discrete host-pathogen models including integrated pest management (IPM) interventions with impulsive effects at both fixed and unfixed times were analysed with regard to host-eradication, host-pathogen persistence and host-outbreak solutions. The condition which guarantees the global stability of host-eradication periodic solution with fixed moments is given. Periodic solutions also exist for models with unfixed moments for which the maximum amplitude of the host is less than the economic threshold. However, the results obtained here indicate that, in practice, it is a very difficult task to control the host population such that its density does not exceed economic threshold.

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