Adaptive observer for age-structured population with spatial diffusion
نویسندگان
چکیده
We investigate the inverse problem of simultaneously estimating the state and the spatial diffusion coefficient for an age-structured population model. The time evolution of the population is supposed to be known on a subdomain in space and age. We generalize to the infinite dimensional setting an adaptive observer originally proposed for finite dimensional systems.
منابع مشابه
Designing a Robust Control Scheme for Robotic Systems with an Adaptive Observer
This paper introduces a robust task-space control scheme for a robotic system with an adaptive observer. The proposed approach does not require the availability of the system states and an adaptive observer is developed to estimate the state variables. These estimated states are then used in the control scheme. First, the dynamic model of a robot is derived. Next, an observer-based robust contr...
متن کاملNumerical Analysis of the Age-Sex-Structured Population Dynamics Taking into Account Spatial Diffusion
Abstract. We present results of the numerical investigation of the homogenous Dirichlet and Neumann problems to an age-sex-structured population dynamics deterministic model taking into account random mating, female’s pregnancy, and spatial diffusion. We prove the existence of separable solutions to the non-dispersing population model and, by using the numerical experiment, corroborate their lo...
متن کاملA domain decomposition method for the diffusion of an age-structured population in a multilayer environment
The spatial spread of an age-structured population in an isolated environment is commonly governed by a partial differential equation with zero-flux boundary condition for the spatial domain. The variables involved are time, age and space, which will be denoted in the following by t, a and x, respectively. We denote by Ω ⊂ R (d = 1, 2, 3) the spatial domain and we assume the age of the populati...
متن کاملA Numerical Method for Spatial Diffusion in Age-Structured Populations
We propose a method to approximate numerically the diffusion of an age-structured population in a spatial environment. We integrate separately the age and time variables by finite differences and we discretize the space variable by finite elements. The method is implicit in time and, inside each time step, implicit in age. We provide stability and convergence results and we illustrate our appro...
متن کاملReproductive value and fluctuating selection in an age-structured population.
Fluctuations in age structure caused by environmental stochasticity create autocorrelation and transient fluctuations in both population size and allele frequency, which complicate demographic and evolutionary analyses. Following a suggestion of Fisher, we show that weighting individuals of different age by their reproductive value serves as a filter, removing temporal autocorrelation in popula...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017