Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/43743
Title: Stage-structured models of intra- and inter-specific competition within age classes
Authors: Fang, J
Gourley, SA
Lou, Y 
Keywords: 34K12
34K20
34K25
92D25
Competition
Delay
Exponential ordering
Monotone system
Stage structure
Issue Date: 2016
Publisher: Academic Press
Source: Journal of differential equations, 2016, v. 260, no. 2, p. 1918-1953 How to cite?
Journal: Journal of differential equations 
Abstract: In some species, larvae and adults experience competition in completely different ways. Simple stage-structured models without larval competition usually yield a single delay equation for the adults. Using an age structured system incorporating competition among both larvae and adults, we derive a system of distributed delay equations for the numbers of larvae and adults. The system is neither cooperative nor reducible to a single equation for either variable. Positivity, boundedness and uniform strong persistence are established. Linear stability analysis of equilibria is difficult due to the strong coupling, but results are proved for small delays using monotone systems theory and exponential ordering. For small delay we prove a theorem on generic convergence to equilibria, which does not directly follow from standard theory but can be proved indirectly using comparison arguments. Finally, we consider an extension to two-strain competition and prove theorems on the linear stability of the boundary equilibria.
URI: http://hdl.handle.net/10397/43743
ISSN: 0022-0396
DOI: 10.1016/j.jde.2015.09.048
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