EXISTENCE OF SOLUTIONS FOR A VARIATIONAL PROBLEM ASSOCIATED TO MODELS IN OPTIMAL FORAGING THEORY

被引：10

作者：

BOTTERON, B

DACOROGNA, B

机构：

[1] Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1990年 / 147卷 / 01期

关键词：

D O I：

10.1016/0022-247X(90)90397-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Realistic extensions of a model by R. Arditi and B. Dacorogna (1985, Math. Biosci. 76, 127-145) in optimal foraging theory are considered. Mathematically, they correspond to minimization problems (in the calculus of variations) of convex but not coercive functionals: E(v) = ∝ g(x, v′) dx with prescribed boundary conditions and v′ ≥ β ≥ 0. Existence, uniqueness, and characterization of solutions are given. The limits of the result are discussed, in particular the case with dependence on v: g = g(x, v, v′). © 1990.

引用

页码：263 / 276

页数：14

共 15 条

[1] OPTIMAL FORAGING IN NONPATCHY HABITATS .2. UNBOUNDED ONE-DIMENSIONAL HABITAT [J].