%0 Journal Article
%T 具有间接信号吸收和Logistic源的生物趋化模型解的有界性<br>Boundedness of Solution for the Chemotaxis Model with Indirect Signal Absorption and Logistic Source
%A 刘璐璐
%A 辛巧
%J Pure Mathematics
%P 362-370
%@ 2160-7605
%D 2021
%I Hans Publishing
%R 10.12677/PM.2021.113048
%X <div style=\"text-align:justify;\">
	本文考虑具有二维间接信号吸收的拟线性趋化模型：其中Ω∈Rn(n=2)是一个有界区域且具有光滑边界，μ,l&gt;0，非线性扩散系数D(u)和趋化敏感系数S(u)分别满足D(u)≥（u+1）m-1，S(u)≤（u+1）q-1且D(?),S(?)∈C1+l([0,∞))。本文利用能量方法和半群理论证明在和0&lt;q&lt;2的条件下，该生物趋化模型的解全局有界，其中,λ0为正常数。&lt;br&gt;In this paper, we consider the following two-dimensional quasilinear chemotaxis model with in-direct signal absorption:&nbsp; on a bounded domain Ω∈Rn(n=2), with smooth boundary&nbsp; , μ and l are positive constants, the nonlinear diffusivity D(u) and chemosensitivity S(u) are supposed to satisfy D(u)≥（u+1）m-1, S(u)≤（u+1）q-1 and D(?),S(?)∈C1+l([0,∞)). Finally, we use the energy method and the semigroup theory to prove that the solution of the biologicalchemotaxis model is globally bounded under the conditions&nbsp; and 0&lt;q&lt;2, where ,λ0 are the positive constants.<br />
</div>
%K 间接信号吸收，拟线性，趋化，Logistic源，有界性<br>Indirect Signal Absorption
%K Quasilinear
%K Chemotaxis
%K Logistic Source
%K Boundednes
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=41367