Dynamics of an age-structured population with Allee effects and harvesting
نویسندگان
چکیده
منابع مشابه
Dynamics of Stage-structured Population Models with Harvesting Pulses
In most models of population dynamics, changes in population due to birth or harvesting are assumed to be time-independent, but many species reproduce or are caught only during a single period of the year. In this paper a single species stage-structured model with density-dependent maturation rate, birth pulse and harvesting pulse is formulated. Using the discrete dynamical system determined by...
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and Applied Analysis 3 ∂u ∂η x, t, a 0 on Σ ∂Ω × 0, T × 0, A , u x, 0, a u0 x, a in Ω × 0, A , u x, t, 0 ∫A 0 β x, t, a u x, t, a da in Ω × 0, T , Pw x, t ∫A 0 w x, α u x, t, α dα in Ω × 0, T , 1.3 whereΩ is a bounded domain inR with smooth boundary ∂Ω, v x, t, a is a harvesting rate, and w is a positive function in L∞ Ω × 0, A . We study an optimal control problem relating to the dynamic syste...
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We study a population model in which there are two species, one of which has a juvenile and adult life stage. The adults of the first species prey on the second species, which in turn preys on the juveniles of the first. One version of the model represents systems where neither species can survive on its own, although we find that both can survive through mutual predation. To avoid extinction, ...
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1 Department of Mathematics, Florida Gulf Coast University e-mail: [email protected] 2 Department of Mathematics, New York University e-mail: [email protected] 3 Department of Mathematics, Center for Computational Sciences Mississippi State University, Mississippi State, MS 39762-9715 USA e-mail: [email protected], [email protected], [email protected] 4 Department of Mathematics, Northern Ar...
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ژورنال
عنوان ژورنال: Journal of Biological Dynamics
سال: 2009
ISSN: 1751-3758,1751-3766
DOI: 10.1080/17513750903389082