Assessing the Impact of Contact Tracing, Quarantine and Red Zone on the Dynamical Evolution of the Covid-19 Pandemic using the Cellular Automata Approach and the Resulting Mean Field System: A Case study in Mauritius

Modeling West Nile Virus transmission in birds and humans: Advantages of using a cellular automata approach

“…First described by Von Neumann in the early 1950s to serve as a simple model of self-reproduction in biological systems ( Neumann, 1966 ), CA are now broadly used to model complex systems in several fields such as computer science, mathematics, engineering, biology and epidemiology ( Mange & Tomassini, 1998 ; Margolus, 1984 ; Ruhomally et al., 2022 ; Sipper, 1994 ; Vichniac, 1984 ; Wang et al., 2023 ) [28, 38–42].…”

“…CA models can describe the complexity of real world spatially extended systems by way of local transition rules that may be expressed as algorithms and then easily implemented as computer programs. They are a powerful tool for modeling biological systems in general, and spatial epidemiology in particular ( B. Cissé et al., 2016a , 2016b ; Mikler et al., 2005 ; Ruhomally et al., 2022 ; Sirakoulis et al., 2000 ). CA models have been successfully used to study several VBDs ( B. Cissé et al., 2016a , 2016b ; Baki Cissé et al., 2016a , 2016b ; Cissé, El Yacoubi, & Tridane, 2013 ; Cissé et al., 2014 ; Doran & Laffan, 2005 ; White et al., 2007 ) around the world, and the approach is an interesting opportunity for modeling WNV transmission.…”

SEIOR Rumor Propagation Model Considering Hesitating Mechanism and Different Rumor-Refuting Ways in Complex Networks

“…The spread of rumors is very similar to the spread of diseases, and the spreading behavior is carried out in a large range. Since the social relationships of individuals are composed of near and far connections, the network connections of individuals are not fixed within a certain area [41,42]. Meanwhile, as early as the 1980s, rumor propagation models entered the research stage of considering network topology.…”