CAJ | 학술논문

Bandyopadhyay提出并研究了一类两种群浮游生物相克模型,然而其有关系统正平衡点全局渐近稳定性的证明是不严密的,所得的结果不合常理.本文研究了Bandyopadhyay所提系统的非自治情形.首先利用微分方程比较原理得到了一组保证该系统持久的充分性条件,然后通过构造适当的Lyapunov函数得到了保证系统正解全局吸引的充分性条件.所得结果补充和完善了前人的工作.
Bandyopadhyay제출병연구료일류량충군부유생물상극모형,연이기유관계통정평형점전국점근은정성적증명시불엄밀적,소득적결과불합상리.본문연구료Bandyopadhyay소제계통적비자치정형.수선이용미분방정비교원리득도료일조보증해계통지구적충분성조건,연후통과구조괄당적Lyapunov함수득도료보증계통정해전국흡인적충분성조건.소득결과보충화완선료전인적공작.
The non-autonomous case of Bandyopadhyay's model is studied.By applying the comparison theorem of differential equation and constructing a suitable Lyapunov function,a set of sufficient condition which ensure the permanence and the global attractivity of the positive solution of the system are obtained.The result supplements and complements the main result of Malay Bandyopadhyay.