“…Building on some biological observations and mathematical models (temporal approaches) [7,8,[10][11][12][13]16,22,28,[30][31][32][33][34][35][36], we develop a new spatio-temporal mathematical model to explore the interactions between the most essential components of the immune system and SARS-CoV-2 particles within a cellular perspective. This dynamical interaction occurs on a spatial domain ℵ ∈ R 2 over a time interval [0, T] and it involves the healthy host cells h(t, x), viral-infected cells i(t, x), SARS-CoV-2 molecules v(t, x), chemokines c(t, x), the effector T cells f (t, x), the regulatory T cells r(t, x), B-lymphocytes cells β(t, x) and antibodies α(t, x).…”