具有时滞的三物种比例依赖Lotka-Volterra合作系统

IF 1.1 Q1 MATHEMATICS Journal of Nonlinear Functional Analysis Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.16

Gulibaikeremu Abulimiti, Ahmadjan Muhammadhaji, Rouzimaimaiti Mahemuti, Azhar Halik

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引用次数: 0

摘要

．讨论了一类具有比率依赖功能响应和时滞的非自治三种群Lotka-Volterra合作系统。利用比较方法和Lyapunov函数的构造，建立了系统的持久性、正周期解的存在性和全局吸引性的一组易于验证的新充分条件。最后，通过数值仿真验证了所得结果的有效性。

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On a three species ratio-dependent Lotka-Volterra cooperative system with delays

. A class of non-autonomous three species Lotka-Volterra cooperative system with ratio-dependent functional responses and delays is discussed. A set of easily veriﬁable new sufﬁcient conditions on the permanence, the existence of positive periodic solutions, and the global attractivity of the system are established by using the comparison method, and the construction of Lyapunov functions. Finally, a numerical simulation is given to verify the effectiveness of the obtained results.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.