STATIONARY SOLUTIONS OF A SELECTION MUTATION MODEL: THE PURE MUTATION CASE
2005 ◽
Vol 15
(07)
◽
pp. 1091-1117
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Keyword(s):
A selection mutation equations model for the distribution of individuals with respect to the age at maturity is considered. In this model we assume that a mutation, perhaps very small, occurs in every reproduction where the noncompactness of the domain of the structuring variable and the two-dimensionality of the environment are the main features. Existence of stationary solutions is proved using the theory of positive semigroups and the infinite-dimensional version in Banach lattices of the Perron Frobenius theorem. The behavior of these stationary solutions when the mutation is small is studied.
1969 ◽
Vol 23
(1)
◽
pp. 193-193
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2020 ◽
Vol 148
(10)
◽
pp. 4137-4150
1986 ◽
Vol 41
(2)
◽
pp. 188-192
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2020 ◽
Vol 278
(8)
◽
pp. 108421
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2007 ◽
Vol 05
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◽
pp. 123-136
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2001 ◽
Vol 192
(1)
◽
pp. 49-64
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2019 ◽
Vol 62
(4)
◽
pp. 913-924