WebAug 23, 2005 · For scramble competition between individuals, we confirm earlier demonstrations that the Ricker model is a direct consequence of a uniform random distribution of individuals across resources. By introducing spatial clustering of individuals according to a negative binomial distribution, we are able to derive the Hassell model. WebOct 23, 2016 · This is the two-dimensional stochastic Ricker competition model to be investigated in this paper. ... Oliveira, H.: Stability of a Ricker-type competition model and the competitive exclusion principle. J. Biol. Dyn. 5, 636–660 (2011) CrossRef MathSciNet MATH Google Scholar ...
Dynamics of a generalized Ricker–Beverton–Holt competition …
WebIn this paper, we consider a more mathematically challenging model, namely, the Ricker competition model, which it is monotone only for certain values of the parameters. We investigate both cases when the Ricker model is monotone and when it is not monotone. WebDec 1, 2024 · The goal of this research is to extend the model in [7] by considering Ricker-type prey growth rate. Intra-specific competition is a way that populations regulate their growth. For a population with a hierarchical ranking among individuals there are two types of intra-specific competition, contest and scramble [4]. hanon lokes
Dynamics of a generalized Ricker–Beverton–Holt competition model …
WebFeb 28, 2013 · Published: March 2014. Abstract. Under certain analytic and geometric assumptions we show that local stability of the coexistence (positive) fixed point of the planar Ricker competition model implies global stability with respect to the interior of the positive quadrant. This result is a confluence of ideas from Dynamical Systems, … WebOct 23, 2016 · This is the two-dimensional stochastic Ricker competition model to be investigated in this paper. For small values of K and \(\tilde{K}\) the \((X_t,Y_t)\) chain … The Ricker model, named after Bill Ricker, is a classic discrete population model which gives the expected number N t+1 (or density) of individuals in generation t + 1 as a function of the number of individuals in the previous generation, Here r is interpreted as an intrinsic growth rate and k as the carrying capacity of the environment. The Ricker model was introduced in 1954 by Ricker in the context of stock and recruitment in fish… hanon sylvie