Oscillations in age-structured models of consumer-resource mutualisms
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 کاملAwakened Oscillations in Coupled Consumer-Resource Pairs
The paper concerns two interacting consumer-resource pairs based on chemostat-like equations under the assumption that the dynamics of the resource is considerably slower than that of the consumer. The presence of two different time scales enables to carry out a fairly complete analysis of the problem. This is done by treating consumers and resources in the coupled system as fast-scale and slow...
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 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 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: Discrete and Continuous Dynamical Systems - Series B
سال: 2015
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2016.21.537