具有扩散项的营养物-病毒-细菌生态模型的持久性

摘要

针对海洋生态系统，建立了一类考虑营养物的病毒—细菌反应扩散模型。首先，根据微分方程基本理论研究了解的适定性问题；然后，利用比较原理与不等式技巧得到了系统的耗散性与持久性；最后，给出了生态学解释。%In this paper ,a nutrient-virus-bacteria model was established to study the marine ecosystem in the presence of a nutrient .First the well posedness of this system was obtained with the aid of the fundamental theory for differential equations .Then the dissipativeness and permanence were investigated by using the comparison argument and inequality techniques .Finally,some ecological interpretations were given .