4.4 Article

On the resilience of a fractional compartment model

Journal

APPLICABLE ANALYSIS
Volume 100, Issue 15, Pages 3161-3173

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2020.1712370

Keywords

Scott Hansen; Green's function; positive solutions; fractional sensitivity equation

Funding

  1. National Science Foundation [1830489]
  2. Division Of Mathematical Sciences
  3. Direct For Mathematical & Physical Scien [1830489] Funding Source: National Science Foundation

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This paper considers the resilience problem for a type of fractional compartment models by studying an equivalent boundary value problem. Criteria on the existence, uniqueness, and multiplicity of solutions or positive solutions are obtained, and sensitivity analysis for a model parameter is conducted. Examples are given to demonstrate the applications of the results.
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.

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