Advances in genetic engineering have paved the way for a new therapy for cancer, which is called virotherapy. This treatment uses genetically engineered viruses which selectively infect, replicate in, and destroy cancer cells without damaging normal cells. Furthermore, current research and clinical trials have indicated that these viruses can be delivered as single agents or in combination with other therapies. In this paper, we propose systems of ordinary differential equations for modeling the dynamics of aggressive tumor growth under radiovirotherapy treatment. We divide the treatment period into two phases; consequently, we present two mathematical models. First, we formulate the virotherapy model as Phase I of the treatment. Then we extend the model to include radiotherapy in combination with virotherapy as Phase II of the treatment. Comprehensive qualitative analyses of both models are conducted. Furthermore, numerical experiments are performed in order to support the analytical results. An analysis of the parameters is also carried out to investigate their effects on the outcome of the treatment. Overall, the analytical results reveal that radiovirotherapy is more effective than, and a good alternative to, virotherapy, as it is capable of eradicating tumors completely.

基因工程的进展为新的癌症治疗方法（称为病毒疗法）铺平了道路。这种治疗方法使用了基因工程病毒，可以选择性感染，复制和破坏癌细胞，而不会破坏正常细胞。此外，当前的研究和临床试验表明，这些病毒可以单药或与其他疗法联合使用。在本文中，我们提出了常微分方程组，用于模拟放射病毒治疗下侵袭性肿瘤生长的动力学。我们将治疗期分为两个阶段：因此，我们提出了两个数学模型。首先，我们将病毒治疗模型制定为治疗的第一阶段。然后，我们扩展模型以将放疗与病毒疗法相结合作为治疗的第二阶段。对这两个模型进行了全面的定性分析。此外，进行数值实验以支持分析结果。还对参数进行了分析，以研究其对治疗结果的影响。总体而言，分析结果表明，放射病毒疗法比病毒疗法更有效，并且可以替代病毒疗法，因为它能够完全根除肿瘤。