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本文考虑非线性随机扰动下的生态种群的问题.首先给出全局正解的存在性.其次,在合理的条件下讨论随机最终有界和随机持久问题,同时也给出解的渐近估计. 相似文献
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In this paper, we consider a three-species ratio-dependent predator-prey model governed by difference equations with periodic coefficients. By using the method of coincidence degree, we discuss the existence of positive periodic solutions of this system, a set of easily verifiable sufficient conditions are derived. 相似文献
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In this article, we consider compound matrices and compound operator equations in a Hilbert space. First, we recall some concepts and main results introduced by Muldowney and by Roger Temam. After that we establish the rule of compound matrices in a Hilbert space, and obtain the expression of solution to a compound operator equation by using the method of operator semigroup. Our brief results generalize the corresponding results in a finite space. 相似文献
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本文考虑空间分布非均匀且生产函数为关于E ,u变量可分离的形式为一般的H(E(x) )G(u)型函数的Logistic模型 u t =DΔu r(x)u1 - uK(x) -H(E(x) )G(u) ,(t,x) ∈ ( 0 ,∞ ) ×Ω ,u( 0 ,x) =φ(x) ,x∈Ω , u n =0 ,(t,x) ∈ ( 0 ,∞ ) ,x∈ Ω .在一些合理的假设条件下 ,得到了与用常微分方程表示的空间分布均匀的Logistic模型[1 3 ] 相平行的结论 ,所得到的结果也推广了文献 [4]的相关结果 . 相似文献
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In this article, an infectious model with saturation effect is considered. By using compound matrix theory and a series of theorems associated to qualitative theory of differential equations which are introduced by Muldowney and Micheal Li, we study globally stable problem of the model. 相似文献
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