Modelling of a seasonally perturbed competitive three species impulsive system

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dc.contributor.authorHu, Jie
dc.contributor.authorLiu, Juan
dc.contributor.authorYuen, Peter W. T.
dc.contributor.authorLi, Fuzhong
dc.contributor.authorDeng, Linqiang
dc.date.accessioned2022-01-26T14:01:06Z
dc.date.available2022-01-26T14:01:06Z
dc.date.issued2022-01-21
dc.description.abstractThe population of biological species in the ecosystem is known sensitive to the periodic fluctuations of seasonal change, food resources and climatic conditions. Research in the ecological management discipline conventionally models the behavior of such dynamic systems through specific impulsive response functions, but the results of such research are applicable only when the environments conform exactly to the conditions as defined by the specific response functions that have been implemented for specific scenarios. This means that the application of previous work may be somewhat limited. Moreover, the intra and inter competitions among species have been seldom studied for modelling the prey-predator ecosystem. To fill in the gaps this paper models the delicate balance of two-prey and one-predator system by addressing three main areas of: ⅰ) instead of using the specific impulse response this work models the ecosystem through a more general response function; ⅱ) to include the effects due to the competition between species and ⅲ) the system is subjected to the influences of seasonal factors. The seasonal factor has been implemented here in terms of periodic functions to represent the growth rates of predators. The sufficient condition for the local and global asymptotic stability of the prey-free periodic solution and the permanence of the system have been subsequently obtained by using the Comparison techniques and the Floquet theorems. Finally, the correctness of developed theories is verified by numerical simulation, and the corresponding biological explanation is given.en_UK
dc.description.sponsorship2017005,2017019: Shanxi Agricultural University of Science and Technology Innovation Fund Projects.en_UK
dc.identifier.citationHu J, Liu J, Yuen PWT, et al., (2022) Modelling of a seasonally perturbed competitive three species impulsive system, Mathematical Biosciences and Engineering, Volume 19, Issue 3, January 2022, pp. 3223-3241en_UK
dc.identifier.eissn1551-0018
dc.identifier.issn1547-1063
dc.identifier.urihttps://doi.org/10.3934/mbe.2022149
dc.identifier.urihttp://dspace.lib.cranfield.ac.uk/handle/1826/17498
dc.language.isoenen_UK
dc.publisherAIMS pressen_UK
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectseasonally successionen_UK
dc.subjectgeneral functional responseen_UK
dc.subjecttwo-prey and one-predator systemen_UK
dc.subjectcompetitionen_UK
dc.titleModelling of a seasonally perturbed competitive three species impulsive systemen_UK
dc.typeArticleen_UK

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