Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Hans F. Weinberger"'
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 32:675-705
We consider a periodic environment with favorable and unfavorable patches alternately arranged in one dimension. In such heterogeneous environments, invasive animals may undergo not only random diffusion but also directed movement toward favorable pa
Autor:
Hans F. Weinberger
Publikováno v:
Evolution Equations & Control Theory. 2:741-747
It is shown that the problem of eliminating a less-fit allele by allowing a mixture of genotypes whose densities satisfy a system of reaction-diffusion equations with population control to evolve in a reactor with impenetrable walls is approximately
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 23:1087-1098
It is shown that a trick introduced by H. R. Thieme [6] to study a one-species integral equation model with a nonmonotone operator can be used to show that some multispecies reaction-diffusion systems which are cooperative for small population densit
Autor:
Hans F. Weinberger, Hirokazu Ninomiya
Publikováno v:
Applicable Analysis. 85:225-247
Long-time asymptotic properties of the solutions of the system where f (u) is positive homogeneous of degree p>1, are studied. We also consider the corresponding linearly perturbed system It is shown that if A=α I, then the global existence of all s
Autor:
Hans F. Weinberger, Hirokazu Ninomiya
Publikováno v:
Mathematical Methods in the Applied Sciences. 27:1815-1818
One may expect that if one adds a vector field which points toward the origin to the right-hand side of a first-order system of ordinary differential equations for which the origin is globally stable, then the origin is globally stable for the new sy
Autor:
Hans F. Weinberger, Hirokazu Ninomiya
Publikováno v:
Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP). 54:869-873
We present an example of a predator-prey-like system with a prey-only state as a global attractor, and with the additional property that an attempt to control the prey by harvesting or poisoning both species produces solutions in which both populatio
Autor:
Hans F. Weinberger
Publikováno v:
Meccanica. 38:547-554
Conditions which must be satisfied by the steady flow of a rigid-plastic material through an extrusion die which minimizes dissipation power are derived.
Publikováno v:
Journal of Mathematical Biology. 45:219-233
One crucial measure of a species' invasiveness is the rate at which it spreads into a competitor's environment. A heuristic spread rate formula for a spatially explicit, two-species competition model relies on 'linear determinacy' which equates sprea