宁夏大学学报（自然科学版）
寧夏大學學報（自然科學版）
저하대학학보（자연과학판）
2014年
3期
201-208
,共8页
阶段结构%稳定性%周期解%平衡点%持续生存%绝灭%毒素
階段結構%穩定性%週期解%平衡點%持續生存%絕滅%毒素
계단결구%은정성%주기해%평형점%지속생존%절멸%독소
stage structure%stability%periodic solution%equilibrium%permanence%extinction%toxicant
主要考虑了毒素影响下的食饵-捕食数学模型(食饵具有阶段结构，捕食种群仅捕食幼年种群)。讨论了系统解的有界性，得到了系统持久、灭绝的充分条件，并证明了系统周期解的存在性和稳定性。最后通过数值模拟进一步证明了相关结论。
主要攷慮瞭毒素影響下的食餌-捕食數學模型(食餌具有階段結構，捕食種群僅捕食幼年種群)。討論瞭繫統解的有界性，得到瞭繫統持久、滅絕的充分條件，併證明瞭繫統週期解的存在性和穩定性。最後通過數值模擬進一步證明瞭相關結論。
주요고필료독소영향하적식이-포식수학모형(식이구유계단결구，포식충군부포식유년충군)。토론료계통해적유계성，득도료계통지구、멸절적충분조건，병증명료계통주기해적존재성화은정성。최후통과수치모의진일보증명료상관결론。
The model of predator-prey with the effects of toxicant is considered,in which the prey has two stages (immature and mature)and the immature population is preyed by predator population.It is proved that the solutions of the system are ultimate bounded,and the sufficient conditions for the permanence and extinction of system are obtained,and the existence uniqueness and stability of the periodic solutions of the system are proved.In the end,some numerical simulations are presented to further prove the relevant conclusions by Matlab software.
