International Journal of Computing Algorithm, Vol 3(3), June 2014 ISSN(Print):2278-2397 Website: www.ijcoa.com Application of Integro-Differential Equation in Periodic Chemotherapy T.Henson 1 , J.Surendrakumari 2 1 2 PG and Research Department of Mathematics, St.Joseph College of Arts and Science (Autonomous), Cuddalore,Tamilnadu, India E-mail: [email protected], [email protected] Abstract In this paper, the presentation will be on existing model called integro-differential equation of tumor growth that accounts for cell cycle arrest and cell death induced by periodic chemotherapy. Necessary and sufficient conditions for the global stability of the cancer –free equilibrium are derived, and conditions under which the system evolves to periodic solutions are determined

Application of Integro-Differential Equation in Periodic Chemotherapy

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In this paper, the presentation will be on existing model called integro-differential equation oftumor growth that accounts for cell cycle arrest and cell death induced by periodicchemotherapy. Necessary and sufficient conditions for the global stability of the cancer –freeequilibrium are derived, and conditions under which the system evolves to periodic solutionsare determined

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Page 1: Application of Integro-Differential Equation in Periodic Chemotherapy

International Journal of Computing Algorithm, Vol 3(3), June 2014

ISSN(Print):2278-2397

Website: www.ijcoa.com

Application of Integro-Differential Equation in Periodic Chemotherapy

T.Henson1, J.Surendrakumari2

1 2 PG and Research Department of Mathematics,

St.Joseph College of Arts and Science (Autonomous), Cuddalore,Tamilnadu, India E-mail: [email protected], [email protected]

Abstract In this paper, the presentation will be on existing model called integro-differential equation of tumor growth that accounts for cell cycle arrest and cell death induced by periodic chemotherapy. Necessary and sufficient conditions for the global stability of the cancer –free equilibrium are derived, and conditions under which the system evolves to periodic solutions are determined