Qualitative analysis of an integro-differential equation model of periodic chemotherapy

DOI10.1016/J.AML.2012.04.024zbMath1386.45010OpenAlexW2045366694WikidataQ115360856 ScholiaQ115360856MaRDI QIDQ714543

Helen M. Byrne, Harsh Vardhan Jain

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.04.024

zbMATH Keywords

stability analysisperiodic orbitchemotherapynonautonomous logistic growth

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Medical applications (general) (92C50) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

Related Items (6)

Implicit Riesz wavelets based-method for solving singular fractional integro-differential equations with applications to hematopoietic stem cell modeling ⋮ Analysis of a free boundary problem for tumor growth in a periodic external environment ⋮ Qualitative results for nonlinear integro-dynamic equations via integral inequalities ⋮ Ulam-Hyers stability for a nonlinear Volterra integro-differential equation ⋮ Stability and bifurcation analysis of a nonlinear discrete logistic model with delay ⋮ CALCULUS FROM THE PAST: MULTIPLE DELAY SYSTEMS ARISING IN CANCER CELL MODELLING

Cites Work

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• A logistic model of periodic chemotherapy with drug resistance
• A logistic model of periodic chemotherapy
• A mathematical model of cycle-specific chemotherapy
• Malaria model with periodic mosquito birth and death rates

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