Existence of multiple positive periodic solutions to n species nonautonomous Lotka - Volterra cooperative systems with harvesting terms
نویسنده
چکیده
In this paper, the existence of 2 positive periodic solutions for n species non-autonomous Lotka-Volterra cooperative systems with harvesting terms is established by using Mawhin’s continuation theorem of coincidence degree theory and matrix inequality. An example is given to illustrate the effectiveness of our results. Keywords—Multiple positive periodic solutions; Nonautonomous Lotka-Volterra cooperative system; Coincidence degree; Harvesting term.
منابع مشابه
Multiple periodic solutions for a general class of delayed cooperative systems on time scales
In this paper, we consider a general class of delayed nonautonomous logistic Lotka-Volterra type multispecies cooperative system with harvesting terms on time scales. The model invovles the intraspecific cooperative terms defined by functions which depend on population densities. An existence theorem of at least 2n periodic solutions is established by using the coincidence degree theory. An exa...
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By using Mawhin’s continuation theorem of coincidence degree theory, we establish the existence of 2 positive periodic solutions for n species non-autonomous Lotka-Volterra competition systems with harvesting terms. An example is given to illustrate the effectiveness of our results. Keywords—Positive periodic solutions; Lotka-Volterra competition system; Coincidence degree; Harvesting term.
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