East Asian mathematical journal

  • 제40권5호
  • /
  • Pages.507-514
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  • 2024
  • /
  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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MATHEMATICAL ANALYSIS OF A THREE-SPECIES HOST-PARASITOID-HYPERPARASITOID

  • LIJIAO JIA (Department of Mathematics, Pusan National University) ;
  • YUNIL ROH (Department of Mathematics, Pusan National University) ;
  • IL HYO JUNG (Department of Mathematics, Institute of Mathematical Science, Finance Fishery Manufacture Industrial Mathematics Center on BigData, Pusan National University)
  • 투고 : 2024.05.14
  • 심사 : 2024.06.18
  • 발행 : 2024.09.30
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초록

This study investigated a new three-species host-parasitoid-hyperparasitoid system, which considers the mutual interference functional response. We establish the existence and uniqueness of positive equilibrium points and demonstrate that the presence of hyperparasitoids always leads to an increase in the level of host population equilibrium. In addition, we demonstrate that the quest constant b of hyperparasitoids is proportional to the host equilibrium level, which is critical for the efficiency of biological control programs. We provide parametric conditions for the local stability of the proposed system. Some numerical simulations are performed to validate our theoretical results.

키워드

과제정보

This work was supported by a 2-Year Research Grant of Pusan National University.

참고문헌

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