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  • mathematical model  (5)
  • Competition tate  (1)
  • 1
    Electronic Resource
    Electronic Resource
    The blind leading the blind in army ant raid patterns: Testing a model of self-organization (Hymenoptera: Formicidae) (1991)
    Springer
    Journal of insect behavior 4 (1991), S. 583-607 
    Details
    ISSN: 1572-8889
    Keywords: army ants ; behavior ; pheromones ; foraging ; self-organization ; Eciton ; mathematical model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract We present field experiments and analyses that test both the assumptions and the predictions of a model that showed how the swarm raids of the army ant Eciton burchellimight be self-organizing, i.e., based on hundreds of thousands of interactions among the foraging workers rather than a central administration or hierarchical control. We use circular mill experiments to show that the running velocity of the ants is a sigmoidal function of the strength of their trail pheromones and provide evidence that the swarm raid is structured by the interaction between outbound and inbound forager traffic mediated by the pheromones produced by both of these sets of ants. Inbound traffic is also affected by the distribution of prey, and hence, sites of prey capture alter the geometry of the raid. By manipulating the prey distributions for E. burchelliswarms, we have made them raid in a form more typical of other army ant species. Such self-organization of raids based on an interaction between the ants and their environment has profound consequences for interpretations of the evolution of army ant species.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01048072
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  • 2
    Electronic Resource
    Electronic Resource
    The blind leading the blind: Modeling chemically mediated army ant raid patterns (1989)
    Springer
    Journal of insect behavior 2 (1989), S. 719-725 
    Details
    ISSN: 1572-8889
    Keywords: army ants ; raid patterns ; self-organization ; mathematical model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01065789
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The self-organizing exploratory pattern of the argentine ant (1990)
    Springer
    Journal of insect behavior 3 (1990), S. 159-168 
    Details
    ISSN: 1572-8889
    Keywords: Iridomyrmex humilis ; Argentine ant ; exploration ; self-organization ; swarm pattern ; mathematical model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Workers of the Argentine ant, Iridomyrmex humilis,start to explore a chemically unmarked territory randomly. As the exploratory front advances, other explorers are recruited and a trail extends from it to the nest. Whereas recruitment trails are generally constructed between two points, these exploratory trails have no fixed destination, and strongly resemble the foraging patterns of army ants. A minimal model shows how the exploratory pattern may be generated by the individual workers' simple trail-laying and -following behavior, illustrating how complex collective structures in insect colonies may be based on self-organization.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01417909
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  • 4
    Electronic Resource
    Electronic Resource
    Kinetics of larval gregarious behavior in the bark beetleDendroctonus micans (Coleoptera: Scolytidae) (1990)
    Springer
    Journal of insect behavior 3 (1990), S. 169-182 
    Details
    ISSN: 1572-8889
    Keywords: aggregation pheromones ; aggregative behavior ; collective feeding ; Dendroctonus micans ; mathematical model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract This paper provides a simple mathematical model of the aggregation behavior of the gregarious intracortical-feeding larvae of the bark beetle, Dendroctonus micans. The model's assumptions are that each individual produces pheromones at a constant rate and reacts positively to a pheromone gradient. These hypotheses have been tested by comparing experiments and simulations, both of which showed that (1) homogeneously distributed individuals aggregate rapidly at the center of the experimental or theoretical arena and (2) eccentric, preformed groups succeed in attracting dispersed individuals, provided that the initial size of these groups is sufficiently high. There is good agreement between most of the experimental and theoretical results, providing a link among chemical communication, density of larvae, and random events occurring during the development of a spatial structure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01417910
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  • 5
    Electronic Resource
    Electronic Resource
    Modulation of trail laying in the antLasius niger (Hymenoptera: Formicidae) and its role in the collective selection of a food source (1993)
    Springer
    Journal of insect behavior 6 (1993), S. 751-759 
    Details
    ISSN: 1572-8889
    Keywords: Lasius niger ; trail following ; trail laying ; pheromone evaporation ; mathematical model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Foragers of the ant Lasius nigerexploiting a 1 Msugar source were found to lay 43 %more trail marks than those exploiting a 0.05 or a 0.1 Msource. The trail laying per forager decreased during the course of individual recruitment episodes, and the mean lifetime of the trail pheromone was estimated to be 47 min. A mathematical function describing the probability that a forager chooses one of two paths in relation to the amount of trail pheromone on them closely fitted experimental data. These results were incorporated into a model describing the recruitment dynamics of L. niger.Simulations of this model showed that the observed modulation of trail laying with respect to food source quality is sufficient in itself to account for the systematic selection of the richer source seen in the experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01201674
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  • 6
    Electronic Resource
    Electronic Resource
    Individual foraging in the antPachycondyla apicalis (1989)
    Springer
    Oecologia 80 (1989), S. 65-69 
    Details
    ISSN: 1432-1939
    Keywords: Foraging benefit ; Capture rate ; Competition tate ; Food flow ; Foraging area
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary A model of individual foraging in social insects as presented that formalises the dynamics of foraging and concentrates on the collective rather than the individual benefit, quantifying the relationships between a colony's foraging area, number of foragers and foraging energy budget and the food sources' rate of arrival, disappearance and capture. A series of experiments, in which a number of prey were offered to colonies of the individually foraging antPachycondyla (ex-Neoponera) apicalis confirm the hypotheses implicit in the model and measured the rates of capture and competition. 60 days observation of 3P. apicalis colonies' foraging activity are summarised and used in conjunction with the model to obtain estimations of the density and rate of arrival of available prey in the foraging area. We examine how a colony's foraging benefit may be influenced by its foraging area, the number of foragers, and the forager/non-forager ratio and show that a colony's jocial structure strongly limits its potential foraging benefit. Within these limits,P. apicalis does not appear to be an optimal forager.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00789933
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    Paper (German National Licenses)
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