Asymptotic behavior of size structured populations via juvenile-adult interaction∗
نویسندگان
چکیده
In this work a size structured juvenile-adult population model is considered. The linearized dynamical behavior of stationary solutions is analyzed using semigroup and spectral methods. The regularity of the governing linear semigroup allows to derive biologically meaningful conditions for the linear stability of stationary solutions. The main emphasis in this work is on juvenile-adult interaction and resulting consequences for the dynamics of the system. In addition, we investigate numerically the effect of a non-zero population inflow, due to an external source of newborns, on the dynamical behavior of the system in a special case of model ingredients.
منابع مشابه
Dynamical behavior of a stage structured prey-predator model
In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to ob...
متن کاملHabitat size, recruitment, and longevity as factors limiting population size in stage-structured species.
Surprisingly little research has evaluated how habitat size may limit the population size of species that use different habitats at different stages of their lives. Here we develop simple discrete-time models to describe the population dynamics of species that use separate juvenile and adult habitats. Analytic solutions, model simulations, and elasticity and sensitivity analyses show that adult...
متن کاملOtolith and scale morphologies of doctor fish (Garra rufa) inhabiting Kangal Balıklı Çermik thermal spring (Sivas, Turkey)
Garra rufa is one of the most popular therapeutic and commercially important fish in ichthyotherapy. Otolith and scale morphology provide new and useful information for fish identification and classification. Left-right asteriscus and lapillus otoliths from juvenile and adult doctor fish, and the scales from 6 different regions of the juvenile and adult fish body have been examined in Kangal Ba...
متن کاملOtolith and scale morphologies of doctor fish (Garra rufa) inhabiting Kangal Balıklı Çermik thermal spring (Sivas, Turkey)
Garra rufa is one of the most popular therapeutic and commercially important fish in ichthyotherapy. Otolith and scale morphology provide new and useful information for fish identification and classification. Left-right asteriscus and lapillus otoliths from juvenile and adult doctor fish, and the scales from 6 different regions of the juvenile and adult fish body have been examined in Kangal Ba...
متن کاملCompetition in size-structured populations: mechanisms inducing cohort formation and population cycles.
In this paper we investigate the consequences of size-dependent competition among the individuals of a consumer population by analyzing the dynamic properties of a physiologically structured population model. Only 2 size-classes of individuals are distinguished: juveniles and adults. Juveniles and adults both feed on one and the same resource and hence interact by means of exploitative competit...
متن کامل