中文摘要：

针对一类描述抗体和病毒反应过程的反应扩散方程组，利用变量变换的方法得到了与其同解的热传导方程。在对抗体正浓度φ（t）做出较弱假设下，研究了热传导方程解的性质，并由紧性知存在φ（t）满足原假设的解的收敛序列，从而得到热传导方程解的存在性、惟一性以及反应速率后k→∞时解的收敛性。借助于热传导方程与反应扩散方程组的同解性，最终得到了反应扩散方程组解的存在性、惟一性以及收敛性。

英文摘要：

By studing a type of reaction diffusion system describing reation for antibody and virtus, the heat conduction equation which has the same solution to the reaction diffusion system by changing variables is obtained. Firstly, under the weaker supose of positive concentration φ（t） of antibody, the properties of the solution to heat conduction equation is studied. By comoutness it exists a convergent subsequence when φ（t） satisfes the original suppose, so the conclusion about the existence, uniqueness of solution and convergence of solution of react rate k→∞ to the e- quation are drawn. Finally, the existence, uniqueness and convergence of solution to the original reaction diffussion system are obtained by the properties of heat conduction equation.