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  • 1
    Electronic Resource
    Electronic Resource
    Asymptotic properties of a continuous-space discrete-time population model in a random environment (1988)
    Springer
    Journal of mathematical biology 26 (1988), S. 361-374 
    Details
    ISSN: 1432-1416
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00276367
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Dispersion population models discrete in time and continuous in space (1990)
    Springer
    Journal of mathematical biology 28 (1990), S. 1-20 
    Details
    ISSN: 1432-1416
    Keywords: Integrodifference equation ; Spectral radius ; Dispersion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract We analyze a discrete-time model of populations that grow and disperse in separate phases. The growth phase is a nonlinear process that allows for the effects of local crowding. The dispersion phase is a linear process that distributes the population throughout its spatial habitat. Our study quantifies the issues of survival and extinction, the existence and stability of nontrivial steady states, and the comparison of various dispersion strategies. Our results show that all of these issues are tied to the global nature of various model parameters. The extreme strategies of staying-in place and going-everywhere-uniformly are compared numerically to diffusion strategies in various contexts. We approach the mathematical analysis of our model from a functional analysis and an operator theory point of view. We use recent results from the theory of positive operators in Banach lattices.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00171515
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    An equivalence relation for the Ginzburg-Landau equations of superconductivity (1997)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 48 (1997), S. 665-675 
    Details
    ISSN: 0044-2275
    Keywords: Key words. Superconductivity, Ginzburg-Landau equations, gauge invariance, large-time asymptotic behavior.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract. Gauge invariance is used to establish an equivalence relation between solutions of the time-independent and time-dependent Ginzburg-Landau equations that describe the same physical state of a superconductor. The equivalence relation shows how equilibrium configurations are obtained as large-time asymptotic limits of solutions of the time-dependent Ginzburg-Landau equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s000330050054
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    Paper (German National Licenses)
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