<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Epidemiological models play an important role in the study of diseases. These models belong to population dynamics models and can be characterized with differential equations. In this paper we focus our attention on two epidemic models for malaria spreading, namely Ross-, and extended Ross model. As both the continous and the corresponding numerical models should preserve the basic qualitative properties of the phenomenon, we paid special attention to its examination, and proved their invariance with reference to the data set. Moreover, existence and uniqueness of equilibrium points for both models of malaria are considered. We demonstrate the theoritical results with numerical simulations.</p></abstract>

Epidemiological models play an important role in the study of diseases. These models belong to population dynamics models and can be characterized with differential equations. In this paper we focus our attention on two epidemic models for malaria spreading, namely Ross-, and extended Ross model. As both the continous and the corresponding numerical models should preserve the basic qualitative properties of the phenomenon, we paid special attention to its examination, and proved their invariance with reference to the data set. Moreover, existence and uniqueness of equilibrium points for both models of malaria are considered. We demonstrate the theoritical results with numerical simulations.

Analysis of Ode Models for Malaria Propagation

Budapest University of Technology and Economics Budapest

Acta Marisiensis. Seria Technologica

This work is licensed under the Creative Commons Attribution 4.0 Public License.

{"article-title":"Analysis of Ode Models for Malaria Propagation"}

Epidemiological models play an important role in the study of diseases. These models belong to population dynamics models and can be characterized with...

Analysis of Ode Models for Malaria Propagation

Published Online: May 26, 2020

Page range: 31 - 39

DOI: https://doi.org/10.2478/amset-2020-0007

Keywords
Epidemic, Extended Ross model, Positivity invariant, Equilibrium points, Ross model, Malaria propagation

© 2020 Fanni Dorner et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Analysis of Ode Models for Malaria Propagation

Published Online: May 26, 2020

Page range: 31 - 39

DOI: https://doi.org/10.2478/amset-2020-0007

KeywordsEpidemic, Extended Ross model, Positivity invariant, Equilibrium points, Ross model, Malaria propagation

© 2020 Fanni Dorner et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Keywords
Epidemic, Extended Ross model, Positivity invariant, Equilibrium points, Ross model, Malaria propagation