High-order reliable numerical methods for epidemic models with non-constant recruitment rate
<|reference_start|>High-order reliable numerical methods for epidemic models with non-constant recruitment rate: The mathematical modeling of the propagation of illnesses has an important role from both mathematical and biological points of view. In this article, we observe an SEIR-type model with a general incidence rate and a non-constant recruitment rate function. First, we observe the qualitative properties of different methods: first-order and higher-order strong stability preserving Runge-Kutta methods \cite{shu}. We give different conditions under which the numerical schemes behave as expected. Then, the theoretical results are demonstrated by some numerical experiments. \keywords{positivity preservation, general SEIR model, SSP Runge-Kutta methods}<|reference_end|>
@article{takács2024high-order,
    title={High-order reliable numerical methods for epidemic models with
  non-constant recruitment rate},
    author={B. M. Tak'acs, G. Svantnern'e Sebesty'en, I. Farag'o},
    journal={arXiv preprint arXiv:2402.10549},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.10549},
    primaryClass={math.NA cs.NA}
}