Competitive exclusion between axons dependent on a single trophic substance: A mathematical analysis

DOI10.1016/0025-5564(95)00134-4zbMath0847.92007OpenAlexW2042314355WikidataQ52302897 ScholiaQ52302897MaRDI QIDQ1918049

N. Jeanprêtre, Jean-Pierre Gabriel, Peter G. H. Clarke

Publication date: 13 October 1996

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(95)00134-4

zbMATH Keywords

Lyapunov functionstable equilibriumaxonal growthautonomic ganglion cellsaxonal vigorcompetition between axonsdeveloping muscle fiberselimination of polyneuronal innervationhigh-affinity receptorslower affinity receptorstrophic substancezero vigor-growth parameter

Mathematics Subject Classification ID

Neural biology (92C20) Developmental biology, pattern formation (92C15) Qualitative theory for ordinary differential equations (34C99) Stability theory for ordinary differential equations (34D99)

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Mathematical analysis of competition between sensory ganglion cells for neurotrophic factor in the skin ⋮ Competitive exclusion between axons dependent on a single trophic substance: A mathematical analysis

Cites Work

• Selective stabilization of muscle innervation during development: A mathematical model
• Competitive exclusion between axons dependent on a single trophic substance: A mathematical analysis
• Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
• Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
• Limiting Behavior for Competing Species
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