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**A stage-structured SI eco-epidemiological model with time delay and impulsive controlling.**
*(English)*
Zbl 1173.93311

Summary: This paper formulates a robust stage-structured SI eco-epidemiological model with periodic constant pulse releasing of infectious pests with pathogens. The authors show that the conditions for global attractivity of the ‘pest-eradication’ periodic solution and permanence of the system depend on time delay, hence, the authors call it “profitless”. Further, the authors present a pest management strategy in which the pest population is kept under the economic threshold level when the pest population is uniformly persistent. By numerical analysis, the authors also show that constant maturation time delay for the susceptible pests and pulse releasing of the infectious pests can bring obvious effects on the dynamics of system.

### Keywords:

impulsive effects; maturation time delay; permanence; pest management; stage-structured SI infectious disease model
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\textit{X. Meng} and \textit{L. Chen}, J. Syst. Sci. Complex. 21, No. 3, 427--440 (2008; Zbl 1173.93311)

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