Dynamics of effector -tumor- interleukin-2 interactions with monod-haldane immune response and treatments

Conference Paper

In this paper, we modify and study a deterministic mathematical model governing interactions between tumor cell (TCs), effector-cells (ECs) and interleukin-2 with treatments. We investigate local stability at equilibria. The system exhibits transcritical bifurcation at tumor free equilibrium which is proved analytically by using Sotomayer’s theorem and illustrated numerically. Our study demonstrates that tumor is being eradicated after administration of external treatments. We execute extensive computer simulations and analyze with biological relevance.

Full Text

Duke Authors

Cited Authors

  • Das, P; Mukherjee, S

Published Date

  • January 1, 2020

Published In

Volume / Issue

  • 863 SCI /

Start / End Page

  • 598 - 609

Electronic International Standard Serial Number (EISSN)

  • 1860-9503

International Standard Serial Number (ISSN)

  • 1860-949X

International Standard Book Number 13 (ISBN-13)

  • 9783030341510

Digital Object Identifier (DOI)

  • 10.1007/978-3-030-34152-7_46

Citation Source

  • Scopus