In this study, we model the interaction among antibody, virus, host cell, immune cell and normal cell as random collisions, because antibody and virus are unlikely to have efficient driving systems. Then we use the model II of waiting times to analyze the collision between antibody and virus with a certain number of normal cells, and use the Monte-Carlo simulation to analyze the random collision process with respect to different numbers of viruses, antibodies, normal, immune and host cells, and whether normal and host cells are fixed or free to move. Finally, we estimate the ratio of antibodies to viruses, which can prevent the host cells from virus infection at two endpoints, by means of the Monte Carlo simulation.
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