On a three-dimensional and two four-dimensional oncolytic viro-therapy models

We revisit and carry out further computations on tumor-virotherapy compartmental models of Tian (Math Biosci Eng 8(3):841, 2011), Wang et al. (Appl Math Model 37(8):5962-5978, 2013), Phan and Tian (Comput Math Methods Med 2017, 2017), Guo et al. (J Biol Dyn 13(1):733-748, 2019) . The results of these papers are pushed further. In particular, we resolve a problem left open from [1], and we illustrate numerically the existence of a bi-stability regime, in which a stable endemic point is also surrounded by a stable limit cycle-see Sect. 5.3.2. We also make public our electronic notebooks, absent for the papers cited, since we believe that electronic reproducibility has become crucial in an era in which software has increased immensely the limits of human computations.