A population model with nonlinear diffusion
نویسندگان
چکیده
منابع مشابه
Finite element approximation of a nonlinear cross-diffusion population model
where j = i and gi(u1, u2) := (μi − γii ui − γij uj) ui. In the above, the given data is as follows: v is an environmental potential, c i ∈ R≥0, ai ∈ R>0 are diffusion coefficients, bi ∈ R are transport coefficients, μi ∈ R≥0 are the intrinsic growth rates, and γii ∈ R≥0 are intra-specific, whereas γij , i = j, ∈ R≥0 are interspecific competition coefficients. In addition to showing well-posedn...
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The internal zero-stabilization of the nonnegative solution to a nonlinear age-dependent population model with diffusion is investigated in this paper. It is provided here a necessary condition and a sufficient condition for the nonnegative zerostabilizability in terms of the value of the principal eigenvalue to a certain elliptic operator. This principal eigenvalue is related to the rate of th...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1981
ISSN: 0022-0396
DOI: 10.1016/0022-0396(81)90083-8