We revisit the stability property of an ecological system consisting of a predator and stage structure prey which was proposed by Raid Kamel Naji and Salam Jasim Majeed. By constructing some suitable Lyapunov function and applying the differential inequality theory, we show that the conditions which ensure the local stability of the vanishing point are enough to ensure its global stability. Our result supplements and complements some known results.
机构:
Department of Mathematical Sciences, Isfahan University of Technology, IsfahanDepartment of Mathematical Sciences, Isfahan University of Technology, Isfahan
Babakordi N.
Zangeneh H.R.Z.
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机构:
Department of Mathematical Sciences, Isfahan University of Technology, IsfahanDepartment of Mathematical Sciences, Isfahan University of Technology, Isfahan
机构:
Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R ChinaTianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China
Sun, Xiao-Ke
Huo, Hai-Feng
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机构:
Lanzhou Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R ChinaTianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China
Huo, Hai-Feng
Ma, Cao-Chuan
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Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R ChinaTianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China
机构:
Institute of Applied Mathematics and Mechanics, ul. R. Luksemburg 74, DonetskInstitute of Applied Mathematics and Mechanics, ul. R. Luksemburg 74, Donetsk