Analysis of a COVID-19 compartmental model: a mathematical and computational approach

Autor: Zita Abreu, Guillaume Cantin, Cristiana J. Silva

Publikováno v: Mathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 7979-7998 (2021)

In this note, we consider a compartmental epidemic mathematical model given by a system of differential equations. We provide a complete toolkit for performing both a symbolic and numerical analysis of the spreading of COVID-19. By using the free and

Externí odkaz: https://doaj.org/article/0258294d4a9d46e7b5591fb8cb52165c

On the degradation of forest ecosystems by extreme events: Statistical Model Checking of a hybrid model

Autor: Guillaume Cantin, Benoît Delahaye, Beatriz M. Funatsu

Publikováno v: Ecological Complexity
Ecological Complexity, 2023, pp.101039. ⟨10.1016/j.ecocom.2023.101039⟩

International audience; In this paper, we study the vulnerability of forest ecosystems perturbed by extreme events, such as those arising from climate change. To investigate the complex interactions between the biological dynamics of the forest and t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e7c9ec87598d12f746561450b7d40e1
https://hal.science/hal-04069502/file/statistic-model-checking-EDP-revision.pdf

Mathematical modeling of forest ecosystems by a reaction–diffusion–advection system: impacts of climate change and deforestation

Autor: Arnaud Ducrot, Guillaume Cantin, Beatriz M. Funatsu

Publikováno v: Journal of Mathematical Biology
Journal of Mathematical Biology, Springer Verlag (Germany), 2021, 83 (6-7), ⟨10.1007/s00285-021-01696-x⟩

International audience; We present an innovative mathematical model for studying the dynamics of forest ecosystems. Our model is determined by an age-structured reaction-diffusion-advection system in which the roles of the water resource and of the a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c659aeea0037c94cd5302e0ab94da392
https://hal.archives-ouvertes.fr/hal-03466054

Analysis of a COVID-19 compartmental model: a mathematical and computational approach

Autor: Cristiana J. Silva, Zita Abreu, Guillaume Cantin

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering, AIMS Press, 2021, 18 (6), pp.7979-7998. ⟨10.3934/mbe.2021396⟩
Mathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 7979-7998 (2021)

In this note, we consider a compartmental epidemic mathematical model given by a system of differential equations. We provide a complete toolkit for performing both a symbolic and numerical analysis of the spreading of COVID-19. By using the free and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::965a33c65fd12427d3faa24631dbea3f
http://hdl.handle.net/10773/32289

Spatio-Temporal Dynamics of Human Behaviors During Disasters: A Mathematical and Geographical Approach

Autor: Valentina Lanza, M. A. Aziz-Alaoui, Nathalie Verdière, Cyrille Bertelle, Damienne Provitolo, Rodolphe Charrier, Oscar Navarro, Alexandre Berred, Edwige Dubos-Paillard, Guillaume Cantin

Publikováno v: Complex Systems, Smart Territories and Mobility. Understanding Complex Systems
Complex Systems, Smart Territories and Mobility. Understanding Complex Systems, Springer, pp.201-218, 2021, ⟨10.1007/978-3-030-59302-5_11⟩
Complex Systems, Smart Territories and Mobility. Understanding Complex Systems, pp.201-218, 2021, ⟨10.1007/978-3-030-59302-5_11⟩
Understanding Complex Systems ISBN: 9783030593018

International audience; This chapter proposes to generalize to a geographical context an innovative SIR-based model describing human collective behaviors in situations of disasters. The novelty of this work is to adopt a complex network approach in o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0dba154908806a6b868661f18ddf0d9f
https://hal.science/hal-03209273/document