Abstract
We solve the longstanding positivity problem of solutions to Caputo fractional-order SEIR models. The issues of existing results are introduced first. Then the rationale for the positivity problem is explored and found to be the nonlocality of Caputo fractional differential operators. Benefiting from Vainikko’s definition and our continuation theorem, the positivity problem is exactly solved. Finally, numerical simulations are provided to illustrate the results.
Citation
Cong Wu. Xuemeng Fan. Tong Tang. Bairong Shen. "THE POSITIVITY OF SOLUTIONS TO CAPUTO FRACTIONAL-ORDER SEIR MODELS." J. Integral Equations Applications 35 (4) 487 - 501, Winter 2023. https://doi.org/10.1216/jie.2023.35.487
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