Martsenyuk, V. P. Construction and study of stability of an antitumoral immunity model. (English. Russian original) Zbl 1077.92035 Cybern. Syst. Anal. 40, No. 5, 778-783 (2004); translation from Kibern. Sist. Anal. 2004, No. 5, 177-182 (2004). Summary: A simplified model of antitumor immunity is proposed. The model is based on the G. I. Marchuk immune protection model [see “Mathematical models in immunology.” 2nd ed. (Russian) (1985; Zbl 0603.92004)] and Gompertz model. Sufficient conditions of its asymptotic equilibrium stability are obtained and formulated in terms of characteristic quasipolynomial coefficients. Cited in 4 Documents MSC: 92C50 Medical applications (general) 92C30 Physiology (general) 34D05 Asymptotic properties of solutions to ordinary differential equations Keywords:antitumor immunity; Gompertz dynamics; Marchuk model of immune systems; stability; quasipolynomial Citations:Zbl 0603.92004 PDFBibTeX XMLCite \textit{V. P. Martsenyuk}, Cybern. Syst. Anal. 40, No. 5, 778--783 (2004; Zbl 1077.92035); translation from Kibern. Sist. Anal. 2004, No. 5, 177--182 (2004) Full Text: DOI References: [3] V. P. Martsenyuk, ?Investigation of zeros of a quasipolynomial of the fourth degree in G. I. Marchuk?s model of immune protection,? Visnyk Kiev. Univ., Ser. Fiz-Mat. Nauk, No. 4, 207-215 (2002). · Zbl 1075.92514 [8] V. P. Martsenyuk, ?The problem of selection of a chemotherapy scheme from the viewpoint of control theory,? Probl. Upr. Inf., No. 2, 134-145 (2003). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.