On the resilience of a fractional compartment model
- 14 January 2020
- journal article
- research article
- Published by Taylor & Francis Ltd in Applicable Analysis
- Vol. 100 (15), 3161-3173
- https://doi.org/10.1080/00036811.2020.1712370
Abstract
In this paper, we consider the resilience problem for a type of fractional compartment models by studying an equivalent boundary value problem. A series of criteria on the existence, uniqueness, and multiplicity of solutions or positive solutions are obtained. The sensitivity analysis for a model parameter is then conducted. Examples are given to demonstrate the applications of the results as well.Keywords
Funding Information
- Division of Mathematical Sciences (1830489)
This publication has 15 references indexed in Scilit:
- The forward and inverse problems for a fractional boundary value problemApplicable Analysis, 2018
- Fractional Order Compartment ModelsSIAM Journal on Applied Mathematics, 2017
- Fractional Calculus in Image Processing: A ReviewFractional Calculus and Applied Analysis, 2016
- A fractional-order infectivity SIR modelPhysica A: Statistical Mechanics and its Applications, 2016
- A Fractional Order Recovery SIR Model from a Stochastic ProcessBulletin of Mathematical Biology, 2016
- Parameter Sensitivity Analysis for Fractional-Order Modeling of Lithium-Ion BatteriesEnergies, 2016
- Forced oscillation, integer and fractional-order modeling in asthmaComputer Methods and Programs in Biomedicine, 2016
- On sensitivity analysis of parameters for fractional differential equations with Caputo derivativesElectronic Journal of Qualitative Theory of Differential Equations, 2016
- Derivation and solutions of some fractional Black–Scholes equations in coarse-grained space and time. Application to Merton’s optimal portfolioComputers & Mathematics with Applications, 2010
- Existence, multiplicity, and dependence on a parameter for a periodic boundary value problemJournal of Differential Equations, 2008