measles

diffeqzoo.bvps.measles(*, time_span=(0.0, 1.0), mu=0.02, lmbda=0.0279, eta=0.01, beta0=1575)

Construct the Measles problem.

The Measles problem is a first-order differential equation with general boundary conditions (specifically: periodic boundary conditions). It describes the dynamics of a seasonal disease, and is a standard BVP testproblem.

Ascher et al. (1995) point to Schwartz (1983) as the original source.

BibTex for Schwartz (1983)

@article{schwartz1983estimating,
    title={Estimating regions of existence of unstable periodic orbits using computer-based techniques},
    author={Schwartz, Ira Bruce},
    journal={SIAM Journal on Numerical Analysis},
    volume={20},
    number={1},
    pages={106--120},
    year={1983},
    publisher={SIAM}
}

BibTex for Ascher et al. (1995)

@book{ascher1995numerical,
    title={Numerical Solution of Boundary Value Problems for Ordinary Differential Equations},
    author={Ascher, Uri M and Mattheij, Robert MM and Russell, Robert D},
    year={1995},
    publisher={SIAM}
}