Lower bounds for the finite-time blow-up of solutions of a cancer invasion model

Sathishkumar, Govindharaju and Shangerganesh, Lingeshwaran and Karthikeyan, Shanmugasundaram: Lower bounds for the finite-time blow-up of solutions of a cancer invasion model.

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Abstract

In this article, we consider non-negative solutions of the nonlinear cancer invasion mathematical model involving proliferation and growth functions with homogeneous Neumann and Robin type boundary conditions. We first obtain lower bounds for the finite time blow-up of solutions in R3 with assumed boundary conditions. Finally, we extend the blow-up results of the given system in R2 using first-order differential inequality techniques and under appropriate assumptions on data.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 12
ISSN: 1417-3875
Page Range: pp. 1-13
DOI: https://doi.org/10.14232/ejqtde.2019.1.12
Uncontrolled Keywords: Matematikai modell
Additional Information: Bibliogr.: p. 11-13. ; összefoglalás angol nyelven
Date Deposited: 2019. May. 31. 06:17
Last Modified: 2020. Jul. 29. 12:24
URI: http://acta.bibl.u-szeged.hu/id/eprint/58105

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