A domain decomposition method for the diffusion of an age-structured population in a multilayer environment
نویسندگان
چکیده
The spatial spread of an age-structured population in an isolated environment is commonly governed by a partial differential equation with zero-flux boundary condition for the spatial domain. The variables involved are time, age and space, which will be denoted in the following by t, a and x, respectively. We denote by Ω ⊂ R (d = 1, 2, 3) the spatial domain and we assume the age of the population to be bounded, i.e. there exists a† > 0 such that a ∈ [0, a†]. Denoting with p(t, a, x) the population density at time t per unit volume and age, the total population at time t is given by
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