纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2010年
2期
345-352
,共8页
时变时滞与无穷时滞%扩散%永久持续生存%全局渐近稳定
時變時滯與無窮時滯%擴散%永久持續生存%全跼漸近穩定
시변시체여무궁시체%확산%영구지속생존%전국점근은정
time varying and infinite delays%dispersion%permanence%globally asymptotic stability
研究一类非自治的具有Holling Ⅱ类功能性反应且包含时变时滞与多个无穷时滞的两种群n斑块捕食扩散系统的持久性与稳定性.利用比较原理,结合构造Lyapunov泛函的方法,得到了保证该系统永久持续生存和任意正解全局渐近稳定的充分性条件.
研究一類非自治的具有Holling Ⅱ類功能性反應且包含時變時滯與多箇無窮時滯的兩種群n斑塊捕食擴散繫統的持久性與穩定性.利用比較原理,結閤構造Lyapunov汎函的方法,得到瞭保證該繫統永久持續生存和任意正解全跼漸近穩定的充分性條件.
연구일류비자치적구유Holling Ⅱ류공능성반응차포함시변시체여다개무궁시체적량충군n반괴포식확산계통적지구성여은정성.이용비교원리,결합구조Lyapunov범함적방법,득도료보증해계통영구지속생존화임의정해전국점근은정적충분성조건.
Persistence and stability of a nonautonomons two-species n-patches predator-prey dispersal system with time varying delay and multiple infinite delays and Ho]ling type-Ⅱ functional response were studied. By using of the comparison theorem and constructing suitable Lyapunov functional, sufficient conditions were obtained for guaranteeing the permanence of the system and the globally asymptotic stability of any positive solution.
