In this paper we study some features of global behavior of one four-dimensional cancer model described by DePillis and Radunskaya in 2013. We find upper bounds for ultimate dynamics of all types of cells populations involved into this model. Also all the ultimate lower bounds. Further, we prove the existence of the bounded positively invariant polytope. Finally, we demonstrate local stability of the equilibrium point that we found.
机构:
Univ Vita Salute San Raffaele, San Raffaele Sci Inst, Dept Oncol, Milan, ItalyUniv Vita Salute San Raffaele, San Raffaele Sci Inst, Dept Oncol, Milan, Italy
Ghia, Paolo
Ferreri, Andres J. M.
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机构:Univ Vita Salute San Raffaele, San Raffaele Sci Inst, Dept Oncol, Milan, Italy
Ferreri, Andres J. M.
Caligaris-Cappio, Federico
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机构:Univ Vita Salute San Raffaele, San Raffaele Sci Inst, Dept Oncol, Milan, Italy
机构:
Hop Clemenceau, Serv Hematol Clin, Av Georges Clemenceau, F-14033 Caen, FranceHop Clemenceau, Serv Hematol Clin, Av Georges Clemenceau, F-14033 Caen, France
机构:
Hop Clemenceau, Serv Hematol Clin, Av Georges Clemenceau, F-14033 Caen, FranceHop Clemenceau, Serv Hematol Clin, Av Georges Clemenceau, F-14033 Caen, France