global attractivity
Global attractivity in a non monotone age structured model with age dependent diffusion and death rates
... the global attractivity of such homogeneous equilibrium solu- tion with the assumption that f (w) is a non-monotone ...the global dynamics of the non-local time-delayed reaction– diffusion ...
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GLOBAL ATTRACTIVITY OF SOLUTIONS OF NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS IN TWO VARIABLES
... Abstract: The purpose of this paper is to established a generalization of Darbo’s fixed point theorem and some new results on the existence and global attractivity of solution of functional integral ...
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Global attractivity of a discrete Lotka Volterra competition system with infinite delays and feedback controls
... In this paper, we propose a discrete Lotka-Volterra competition system with infinite delays and feedback controls. Sufficient conditions which ensure the global attractivity of the system are obtained. An ...
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Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces
... On the other hand, there has been recent interest in establishing fixed point theorems in partially ordered complete metric spaces with a contractivity condition which holds for all points that are related by partial ...
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Permanence and global attractivity of a discrete pollination mutualism in plant pollinator system with feedback controls
... species is globally stable. That is, if the feedback control is small enough, the population may remain stable. Wang et al. [] have shown that the system (.) is globally stable, and our work shows that the feedback ...
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Existence and global attractivity of positive periodic solutions for a Holling II two prey one predator system
... In this paper, a Holling II two-pery one-predator system is investigated. Based on the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov function, we derive a set of sufficient ...
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Attractivity for a k dimensional system of fractional functional differential equations and global attractivity for a k dimensional system of nonlinear fractional differential equations
... the attractivity of solutions for two k-dimensional systems of fractional differential ...the attractivity and global attractivity of solutions of different systems of (singular) fractional ...
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Local dynamics and global attractivity of a certain second order quadratic fractional difference equation
... of global dynamics of a special quadratic fractional case of () where A = C = D = a = c = d = was performed in [, ...and global attractivity of the equilibrium, see [, ...the global ...
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Permanence, partial survival, extinction, and global attractivity of a nonautonomous harvesting Lotka–Volterra commensalism model incorporating partial closure for the populations
... and global attractivity, which reflect the existence of the species in the long run, the extinction of the species, and the species maintained in a stable ...
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Conditions for Almost Global Attractivity of a Synchronous Generator Connected to an Infinite Bus
... and global attractivity of the equilibria of a realistic model of a synchronous generator with constant field current connected to an infinite bus are ...almost global attractivity of one of ...
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Global attractivity of an integro differential model of competition
... Global attractivity of an integro differential model of competition Chen Advances in Difference Equations (2017) 2017 49 DOI 10 1186/s13662 017 1095 4 R E S E A R C H Open Access Global attractivity o[.] ...
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Global attractivity of a discrete competition model
... method and the comparison principle of difference equations we obtain sufficient conditions that ensure the global attractivity of the interior equilibrium of the system. Our result supplements and complements ...
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Global attractivity of a discrete cooperative system incorporating harvesting
... is proposed and studied in this paper. By using the iterative method and the comparison principle of difference equations, a set of sufficient conditions which ensure the global attractivity of the interior ...
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Permanence and global attractivity of a nonautonomous modified Leslie Gower predator prey model with Holling type II schemes and a prey refuge
... The paper is arranged as follows: In Section , we obtain sufficient conditions which guarantee the permanence of the system (.). In Section , we obtain sufficient conditions which ensure the global ...
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Almost Global Attractivity of a Synchronous Generator Connected to an Infinite Bus
... is not positive definite but whose derivative is negative semi– definite. LaSalle’s invariance principle [16] then establishes some convergence properties of bounded trajectories. The powerful, but little known, ...
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Global attractivity in a genotype selection model
... Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Mathematics and Its Applications, vol.. Xiaoping Li: Department of Mathematics, Loudi Teacher’s[r] ...
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Global attractivity without stability for Liénard type systems
... We are concerned with some conditions such as the trivial solution of a planar system of differential equations including the Liénard system that is globally attractive but not stable.. W[r] ...
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Permanence and global attractivity in a discrete Lotka Volterra predator prey model with delays
... In this paper, we have investigated the dynamic behavior of a discrete Lotka-Volterra predator-prey model with time-varying delays. Sufficient conditions which ensure the per- manence of the system are established. ...
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Global attractivity for fractional order delay partial integro differential equations
... Our aim in this work is to study the existence and the attractivity of solutions for a system of delay partial integro-differential equations of fractional order. We use the Schauder fixed point theorem for the ...
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Global attractivity of a discrete competition model of plankton allelopathy with infinite deviating arguments
... to ensure that the model admits a unique positive equilibrium, some additional restriction on the coefficients is needed; otherwise, the system may admit chaotic behavior, which could not be observed in the continuous-time ...
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