A Stage-Structured Predator-Prey SI Model with Disease in the Prey and Impulsive Effects
By Tongqian Zhang, Xinzhu Meng, Yi Song, Tonghua Zhang. 2013
63 citations recorded by the source corpus.
This paper aims to develop a high-dimensional SI model with stage structure for both the prey (pest) and the predator, and then to investigate the dynamics of it. The model can be used for the study of Integrated Pest Management (IPM) which is a combination of constant pulse releasing of animal enemies and diseased pests at two different fixed moments. Firstly, we use analytical techniques for impulsive delay differential equations to obtain the conditions for global attractivity of the ‘pest-free’ periodic solution and permanence of the population model. It shows that the conditions strongly depend on time delay, impulsive release of animal enemies and infective pests. Secondly, we present a pest management strategy in which the pest population is kept under the economic threshold level (ETL) when the pest population is permanent. Finally, numerical analysis is presented to illustrate our main conclusion.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/ae3c8218c2655cba1236a32284f2387b450a5008
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In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Existence for fractional Dirichlet boundary value problem under barrier strip conditions (2017, background): “solution problem [11, 12, 42], fractional delay problems, [30, 32, 44], solitons [16], Biological mathematics [17, 29, 43], etc.”