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具有脉冲和扩散项的Beddington–DeAngelis型功能反应捕食系统的持久性

PERMANENCE OF BEDDINGTON–DEANGELIS TYPE PREDATOR-PREY SYSTEM WITH IMPULSE AND DIFFUSION
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摘要 讨论了一类具有脉冲和扩散项的Beddington–De Angelis型功能反应捕食系统,在该系统带有齐次Neumann边界条件的情况下,借助比较定理,获得了系统有正向不变集、解的最终有界性、持久性以及捕食者灭绝的一些充分条件。 The Beddington-De Angelis type functional response predator-prey system with impulse and diffusion under homogeneous Neumann boundary conditions were investigated. Based on the upper and lower solution method and comparison theory of differential equation, some sufficient conditions were established for the existence of positively invariant set, ultimate boundedness of solutions, permanence and the extinction of the predator in this system.
作者 蒲武军
机构地区 陇南师专数信学院
出处 《井冈山大学学报（自然科学版）》 2015年第6期24-28,70,共6页 Journal of Jinggangshan University (Natural Science)
关键词 Beddington–De Angelis型功能反应 脉冲 扩散 持久性 Beddington–De Angelis functional response impulse diffusion permanence
分类号 O175 [理学—基础数学] Q141 [生物学—生态学]
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参考文献13

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二级参考文献45

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共引文献63

井冈山大学学报（自然科学版）
2015年 第6期

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