一类具有季节交替的n维Gilpin-Ayala竞争模型的动力学OACSTPCD
Dynamics of A n-Dimensional Gilpin-Ayala Competition Model With Seasonal Succession
研究一类具有季节交替的 维Gilpin-Ayala竞争模型.利用单调动力系统的理论,当n=1时,系统存在着阈值动力学.根据离散竞争映射的负载单形理论,证得n维系统存在一个(n-1)维的负载单形.结果表明:(n-1)维的负载单形吸引了系统在Rn+中的所有非平凡轨道.
A type of n dimensional Gilpin-Ayala competition models with seasonal succession are studied.U-sing the theory of monotonic dynamical systems,when n=1,the system has threshold dynamics.Using the theory of carrying simplex of discrete competitive mappings,the existence of a(n-1)dimensional carrying simplex in the n dimensional system is proved.The result shows that(n-1)dimensional carrying simplex at-tracts all nontrivial orbits in Rn+of the system.
陈梅香;谢溪庄
华侨大学数学科学学院,福建泉州 362021
数学
季节交替Gilpin-Ayala竞争模型周期解庞加莱映射负载单形
seasonal successionGilpin-Ayala competition modelperiodic solutionPoincaré mappingcarry-ing simplex
《华侨大学学报（自然科学版）》 2024 (003)
417-422 / 6
国家自然科学基金面上基金资助项目(11871231);福建省自然科学基金面上基金资助项目(2022J01305)
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