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  • 1
    Electronic Resource
    Electronic Resource
    Effects of behavioral adaptation on a predator-prey model (1982)
    Springer
    Journal of mathematical biology 15 (1982), S. 239-247 
    Details
    ISSN: 1432-1416
    Keywords: Predator-prey model ; Behavioral adaptation ; Stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The Volterra-Lotka predator-prey equations are modified so that the predator's ability to utilize the prey varies in proportion to the average number of encounters between the two species in the past. The behavior of this adaptive system is then described in terms of three parameters — the carrying capacity of the prey, the relative death rate of the predator, and the predator's memoryspan. The most stable situation is shown to occur when the carrying capacity of the prey is large, the predator's death rate is close to zero, and the predator is able to adapt quickly to changing levels of prey density.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275076
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Competing species model with behavioral adaptation (1986)
    Springer
    Journal of mathematical biology 24 (1986), S. 543-555 
    Details
    ISSN: 1432-1416
    Keywords: Competing species model ; Behavioral adaptation ; Oscillatory solutions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract This paper studies the properties of a modified Lotka-Volterra model for two competing species, in which the coefficients of the interaction terms are time-dependent averages of the level of interaction over the entire past. For this model, it is shown that (1) competitive exclusion does not occur, (2) there are two possible stable equilibrium points, and (3) in a certain region of parameter space numerical simulations suggest the existence of interesting oscillatory solutions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275683
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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