In this paper, we propose a mathematical model to study the dynamics of anorexic and bulimic populations. The model proposed takes into account, among other things, the effects of peers' influence, media influence, and education.We prove the existence of three possible equilibria that without media influences are disease-free, bulimic-endemic, and endemic. Neglecting media and education effects, we investigate the stability of such equilibria, and we prove that under the influence of media, only one of such equilibria persists and becomes a global attractor. Which of the three equilibria becomes global attractor depends on the other parameters
A mathematical model of anorexia and bulimia
GIACOBBE, ANDREA;MULONE, Giuseppe;FALSAPERLA, PAOLO;
2015-01-01
Abstract
In this paper, we propose a mathematical model to study the dynamics of anorexic and bulimic populations. The model proposed takes into account, among other things, the effects of peers' influence, media influence, and education.We prove the existence of three possible equilibria that without media influences are disease-free, bulimic-endemic, and endemic. Neglecting media and education effects, we investigate the stability of such equilibria, and we prove that under the influence of media, only one of such equilibria persists and becomes a global attractor. Which of the three equilibria becomes global attractor depends on the other parametersFile | Dimensione | Formato | |
---|---|---|---|
2015.MMAS.pdf
solo gestori archivio
Licenza:
Non specificato
Dimensione
822.98 kB
Formato
Adobe PDF
|
822.98 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.