Application of Mawhin’s Coincidence Degree and Matrix Spectral Theory to a Delayed System
نویسندگان
چکیده
and Applied Analysis 3 where bi t , rj t , aik t , cil t , djk t , ejl t , ejl t i, k 1, 2, . . . ,N; j, l 1, 2, . . . ,M are assumed to be continuous ω-periodic functions and the delays τik, δjk, ηil, ξjl are assumed to be positive constants. The system 1.3 is supplemented with the initial condition: xi θ φi θ , yj θ ψi θ , θ ∈ −τ, 0 , φi 0 > 0, ψi 0 > 0, 1.4
منابع مشابه
Periodic Solutions for a Delayed Predator-prey System with Dispersal and Impulses
A delayed predator-prey system with prey dispersal in n-patch environments and impulse effects is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions to the system.
متن کاملExistence of multiple positive periodic solutions to n species nonautonomous Lotka - Volterra cooperative systems with harvesting terms
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...
متن کاملEXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS IN n-SPECIES FOOD-CHAIN SYSTEM WITH TIME DELAYS
A delayed periodic n-species simple food-chain system with Holling type-II functional response is investigated. By means of Gaines and Mawhin’s continuation theorem of coincidence degree theory and by constructing appropriate Lyapunov functionals, sufficient conditions are obtained for the existence and global attractivity of positive periodic solutions of the system.
متن کاملFour positive almost periodic solutions to two species parasitical model with impulsive effects and harvesting terms
By applying Mawhin’s continuation theorem of coincidence degree theory and some skills of inequalities, sufficient conditions are obtained for the existence of at least four positive almost periodic solutions to two species parasitical system with impulsive effects and harvesting terms. Key–Words: Almost periodic solutions; Parasitical system; Coincidence degree; Harvesting term; Time delay; Im...
متن کاملThe Existence of Eight Positive Periodic Solutions for a Generalized Prey-predator System with Delay and Stocking
By means of using Mawhin’s continuation theorem of coincidence degree theory, we derive criteria for the existence of eight positive periodic solutions of a generalized prey-predator system with time delay and stocking.
متن کامل