计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
4期
46-48,82
,共4页
捕食-食饵模型%分歧解%渐近稳定性
捕食-食餌模型%分歧解%漸近穩定性
포식-식이모형%분기해%점근은정성
predator-prey model%bifurcation solution%consistently stability
研究一类具有非单调功能函数的捕食-食饵模型，以物种的生长率作为分歧参数，利用Lyapunov-Schmidt约化过程，研究二重特征值处的分歧，并判定分歧解的渐近稳定性。说明捕食与被捕食的两种生物在平凡解(0,0)附近可以产生稳定的共存状态。
研究一類具有非單調功能函數的捕食-食餌模型，以物種的生長率作為分歧參數，利用Lyapunov-Schmidt約化過程，研究二重特徵值處的分歧，併判定分歧解的漸近穩定性。說明捕食與被捕食的兩種生物在平凡解(0,0)附近可以產生穩定的共存狀態。
연구일류구유비단조공능함수적포식-식이모형，이물충적생장솔작위분기삼수，이용Lyapunov-Schmidt약화과정，연구이중특정치처적분기，병판정분기해적점근은정성。설명포식여피포식적량충생물재평범해(0,0)부근가이산생은정적공존상태。
The predator-prey model with non-monotonic function is studied. The two growth rates are treated as corresponding bifurcation parameters, the bifurcation from a double eigenvalue is investigated by Liapunov-Schmidt procedure. The stability of these solutions is determined. Coexistence equilibrium can be reached between two species of prey and predator near trivial solution(0,0).
