Diffusion model for the spread of infectious diseases: SIR model with mobile agents

Article

Authorship

CENTRES, PAULO MARCELO ; PEREZ, DIEGO JAVIER ; Guzman, R. ; REINAUDI, LUIS ; GIMENEZ, MARIA CECILIA

Date

2024

Publishing House and Editing Place

ELSEVIER SCIENCE BV

Magazine

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS, vol. 633 (pp. 1-10) - ISSN 0378-4371
ELSEVIER SCIENCE BV

ISSN

0378-4371

Summary Information provided by the agent in SIGEVA

Using a model of agent diffusion over a square region and based on the SIR model, we perform a phenomenological study of the spread of an epidemic, considering two possible contagion mechanisms, namely (i) on the one hand, if a susceptible agent is on contact with an infected agent, it would become an infected agent with a given probability p1; (ii) on the other hand, if a group of susceptible agents is located within a cut-off radius Rc around an infected one, each of the susceptible agents wo... Using a model of agent diffusion over a square region and based on the SIR model, we perform a phenomenological study of the spread of an epidemic, considering two possible contagion mechanisms, namely (i) on the one hand, if a susceptible agent is on contact with an infected agent, it would become an infected agent with a given probability p1; (ii) on the other hand, if a group of susceptible agents is located within a cut-off radius Rc around an infected one, each of the susceptible agents would become an infected agent with probability p2. It was observed that the number of secondary infections produced by an individual during its infectious period, R0, has a dependence on p1, p2, Rc, the speed of the agents and the time of infection.