Abstract
In order to have an adequate model, the continuous and the corresponding numerical models on some fixed mesh should preserve the basic qualitative properties of the original phenomenon. In this paper we focus our attention on some mathematical models of biology, namely, we consider different epidemic models. First we investigate the SIR model, then different models for malaria (Ross models). Special attention is paid to the investigation of the extended models with involving the demography of humans and malaria mosquitoes. We examine their qualitative properties, and prove their invariance wrt the data set. A numerical example demonstrates the theoretical results.
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Acknowledgements
The project has been supported by the European Union, and co-financed by the European Social Fund (EFOP-3.6.3-VEKOP-16-2017-00002).
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Faragó, I., Dorner, F. (2021). Two Epidemic Propagation Models and Their Properties. In: Dimov, I., Fidanova, S. (eds) Advances in High Performance Computing. HPC 2019. Studies in Computational Intelligence, vol 902. Springer, Cham. https://doi.org/10.1007/978-3-030-55347-0_18
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DOI: https://doi.org/10.1007/978-3-030-55347-0_18
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