北华大学学报(自然科学版)
北華大學學報(自然科學版)
북화대학학보(자연과학판)
JOURNAL OF BEIHUA UNIVERSITY(NATURAL SCIENCE)
2014年
6期
709-714
,共6页
随机捕食模型%Lyapunov函数%伊藤公式%平稳分布%绝灭性
隨機捕食模型%Lyapunov函數%伊籐公式%平穩分佈%絕滅性
수궤포식모형%Lyapunov함수%이등공식%평은분포%절멸성
stochastic predator-prey system%Lyapunov function%Ito’ s formula%stationary distribution%extinction
考虑了一类额外食饵补充的随机捕食模型,讨论了随机系统全局正解的存在唯一性,给出了随机模型存在平稳分布的条件,讨论了食饵种群、捕食者种群的绝灭条件。最后通过数值仿真验证了上述结论的正确性。
攷慮瞭一類額外食餌補充的隨機捕食模型,討論瞭隨機繫統全跼正解的存在唯一性,給齣瞭隨機模型存在平穩分佈的條件,討論瞭食餌種群、捕食者種群的絕滅條件。最後通過數值倣真驗證瞭上述結論的正確性。
고필료일류액외식이보충적수궤포식모형,토론료수궤계통전국정해적존재유일성,급출료수궤모형존재평은분포적조건,토론료식이충군、포식자충군적절멸조건。최후통과수치방진험증료상술결론적정학성。
We consider an additional food provided predator-prey system with stochastic perturbation. There exists a unique positive solution of the system with positive initial value, and the existence of the stochastic model stationary distribution is proved. Moreover, the conditions for the system to be extinct are given and the conclusions are verified by numerical simulation.