Research output per year
Research output per year
Personal profile
Personal profile
Dr. Mitchell earned his bachelor's and master's degrees in mathematics at SFA and his PhD in computational and applied mathematics from Southern Methodist University. His primary research interests involve analyzing – via the homotopy analysis method, among other methods – nonlinear oscillators, which can represent malarial infections, other epidemics and possibly include time delays.
Research output
- 4 Article
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Simplified Liénard Equation by Homotopy Analysis Method
Mitchell, J., Jul 2021, In: Differential Equations and Dynamical Systems. 29, 3, p. 735-748 14 p.Research output: Contribution to journal › Article › peer-review
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Synchronous versus asynchronous oscillations for antigenically varying Plasmodium falciparum with host immune response
Mitchell, J. L. & Carr, T. W., Mar 2012, In: Journal of Biological Dynamics. 6, 2, p. 333-357 25 p.Research output: Contribution to journal › Article › peer-review
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Effect of state-dependent delay on a weakly damped nonlinear oscillator
Mitchell, J. L. & Carr, T. W., Apr 15 2011, In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 83, 4, 046110.Research output: Contribution to journal › Article › peer-review
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Oscillations in an intra-host model of Plasmodium Falciparum malaria due to cross-reactive immune response
Mitchell, J. L. & Carr, T. W., Apr 2010, In: Bulletin of Mathematical Biology. 72, 3, p. 590-610 21 p.Research output: Contribution to journal › Article › peer-review