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  • Articles  (5)
  • Other Sources
  • Stability  (5)
  • 1985-1989
  • 1980-1984  (5)
  • 1960-1964
  • 1940-1944
  • 1981  (5)
  • Mathematics  (5)
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  • Articles  (5)
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  • 1985-1989
  • 1980-1984  (5)
  • 1960-1964
  • 1940-1944
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  • 1
    Electronic Resource
    Electronic Resource
    Equilibrium solutions of age-specific population dynamics of several species (1981)
    Springer
    Journal of mathematical biology 11 (1981), S. 65-84 
    Details
    ISSN: 1432-1416
    Keywords: Population dynamics ; Age-dependent models ; Equilibrium solutions ; Stability ; Evolution equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Summary A mathematical model describing the dynamics of a population consisting of several species is studied. The interactions in the population are assumed to be age-specific. Using an evolution equation approach, sufficient conditions for well-posedness in L 1 of the dynamics and for existence as well as for stability of equilibrium solutions are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275825
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  • 2
    Electronic Resource
    Electronic Resource
    Stability in a class of cyclic epidemic models with delay (1981)
    Springer
    Journal of mathematical biology 11 (1981), S. 95-103 
    Details
    ISSN: 1432-1416
    Keywords: Epidemiology ; SIRS ; Deterministic models ; Distributed delays ; Stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A detailed analysis of a general class of SIRS epidemic models is given. Sufficient conditions are derived which guarantee the global stability of the endemic equilibrium solution. Further conditions are found which ensure instability for the equilibrium. Finally, the dependence of the stability on the contact number and the ratio of the mean length of infection to the mean removed time is considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275827
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  • 3
    Electronic Resource
    Electronic Resource
    Constant-rate stocking of predator-prey systems (1981)
    Springer
    Journal of mathematical biology 11 (1981), S. 1-14 
    Details
    ISSN: 1432-1416
    Keywords: Ecological modelling ; Predator-prey systems ; Ordinary non-linear differential equations ; Stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract We examine the qualitative effects of constant-rate stocking of either or both species in a predator-prey system. The hypotheses are made as mild as possible so that several types of systems with different qualitative alternatives may be studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275820
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  • 4
    Electronic Resource
    Electronic Resource
    Stability analysis for models of diseases without immunity (1981)
    Springer
    Journal of mathematical biology 13 (1981), S. 185-198 
    Details
    ISSN: 1432-1416
    Keywords: Epidemiology ; Deterministic models ; Distributed delays ; Thresholds ; Stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Summary A cyclic, constant parameter epidemiological model is described for a closed population divided into susceptible, exposed and infectious classes. Distributed delays are introduced and the model is formulated as two coupled Volterra integral equations. The delays do not change the general nature of thresholds or asymptotic stability; in all cases considered the disease either dies out, or approaches an endemic steady state.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275213
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  • 5
    Electronic Resource
    Electronic Resource
    Clines in the presence of asymmetric migration (1981)
    Springer
    Journal of mathematical biology 11 (1981), S. 207-233 
    Details
    ISSN: 1432-1416
    Keywords: Clines ; Population genetics ; Nonlinear diffusion problems ; Stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract If a population, which consists of individuals having genetic variation at one locus, with two alleles A and a, evolves under the influence of migration and selection, gradients in the distribution of alleles may arise. We consider the effect of asymmetry in the migration and spatial dependence of the selection process, upon the emergence and stability of such gradients.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275443
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