Numerical Equilibrium Analysis for Structured Consumer Resource Models
نویسندگان
چکیده
منابع مشابه
Erratum to: Numerical Equilibrium Analysis for Structured Consumer Resource Models.
The formula for D3x given below equation (A9) is wrong for discontinuous g, and equation (A8) is alsowrong. An easyway to see this is that for large τ values it does not provide a solution for (A3) (with adapted initial condition) as it should. As a result, the expressions for D2X , the derivatives for the survival probability and the Ψ i appearing in the characteristic matrix also need correct...
متن کاملNumerical equilibrium analysis for structured consumer resource models.
In this paper, we present methods for a numerical equilibrium and stability analysis for models of a size structured population competing for an unstructured resource. We concentrate on cases where two model parameters are free, and thus existence boundaries for equilibria and stability boundaries can be defined in the (two-parameter) plane. We numerically trace these implicitly defined curves ...
متن کاملNumerical Bifurcation Analysis of Physiologically Structured Populations: Consumer-Resource, Cannibalistic and Trophic Models.
With the aim of applying numerical methods, we develop a formalism for physiologically structured population models in a new generality that includes consumer-resource, cannibalism and trophic models. The dynamics at the population level are formulated as a system of Volterra functional equations coupled to ODE. For this general class, we develop numerical methods to continue equilibria with re...
متن کاملA Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models
In this paper, a theorem is proved which presents the series solution obtained from the homotopy analysis method is convergent to the exact solution of nonlinear age-structured population models.
متن کاملNumerical Analysis and Simulation of Resource-Exploration Models
In this paper, we examine models for exploration and consumption of resources. The fundamental feature of the models is the jumpprocess nature of the exploration for and discovery of the resource. Several models have been proposed and analyzed in the literature. Here we provide numerical schemes, convergence properties, and some new models that provide risk-averse policies to avoid depletion of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of Mathematical Biology
سال: 2009
ISSN: 0092-8240,1522-9602
DOI: 10.1007/s11538-009-9445-3