信阳师范学院学报(自然科学版)
信暘師範學院學報(自然科學版)
신양사범학원학보(자연과학판)
JOURNAL OF XINYANG NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2014年
4期
478-482
,共5页
杨金根%任磊%苏春华
楊金根%任磊%囌春華
양금근%임뢰%소춘화
时滞%全局吸引%脉冲微分系统%持续性
時滯%全跼吸引%脈遲微分繫統%持續性
시체%전국흡인%맥충미분계통%지속성
time delay%global attractive%impulsive differential system%permanence
根据流行病的传播规律,建立了一类具有时滞和非线性发生率的SEIRS流行病脉冲微分系统,证明了系统无病周期解的存在性和全局吸引性,并进一步给出了系统持续生存的条件。
根據流行病的傳播規律,建立瞭一類具有時滯和非線性髮生率的SEIRS流行病脈遲微分繫統,證明瞭繫統無病週期解的存在性和全跼吸引性,併進一步給齣瞭繫統持續生存的條件。
근거류행병적전파규률,건립료일류구유시체화비선성발생솔적SEIRS류행병맥충미분계통,증명료계통무병주기해적존재성화전국흡인성,병진일보급출료계통지속생존적조건。
According to the propagation of the epidemic, a SEIRS epidemic system with time delays and nonlinear incidence rate was established. The existence and global attractivity of the infection-free periodic solution were proved. In the end, the sufficient conditions for which the system is persist were obtained.