Cournot–Bertrand Duopoly Model: Dynamic Analysis Based on a Computed Cost
In this paper, some mathematical properties and dynamic investigations of a Cournot–Bertrand duopoly game using a computed nonlinear cost are studied. The game is repeated and its evolution is presented by noninvertible map. The fixed points for this map are calculated and their stability conditions are discussed.
S. S. Askar +2 more
wiley +1 more source
Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect
In this paper, we study the global dynamics and bifurcations of a two-dimensional discrete time host–parasitoid model with strong Allee effect. The existence of fixed points and their stability are analysed in all allowed parametric region.
Abdul Qadeer Khan +2 more
doaj +1 more source
Neimark-Sacker Bifurcation and Chaos Control in a Fractional-Order Plant-Herbivore Model
This work is related to dynamics of a discrete-time 3-dimensional plant-herbivore model. We investigate existence and uniqueness of positive equilibrium and parametric conditions for local asymptotic stability of positive equilibrium point of this model.
Qamar Din, A. A. Elsadany, Hammad Khalil
doaj +1 more source
Stability and Bifurcations in a Discrete-Time Eco-Evolutionary Logistic Model
In this paper I study a two-dimensional discrete-time evolutionary logistic-type model describing the coupled dynamics of population density and a continuously evolving trait.
Rafael Luís
doaj +1 more source
Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model
In this paper, we investigate the system undergoes flip and Neimark Sacker bifurcation in the interior of R+2 by using the center manifold theorem and bifurcation theory. The dynamics of this discrete time predator-pre model is investigated in the closed
Yong Li +4 more
doaj +1 more source
Stability and bifurcation analysis in a host–parasitoid model with Hassell growth function
In this paper, a discrete-time host–parasitoid model with Hassell growth function for the host is considered. The sufficient conditions for the existence of the equilibrium points are obtained and a local stability analysis of the model is performed.
Figen Kangalgil, Senol Kartal
doaj +1 more source
A simple model of a speculative housing market [PDF]
We develop a simple model of a speculative housing market in which the demand for houses is influenced by expectations about future housing prices. Guided by empirical evidence, agents rely on extrapolative and regressive forecasting rules to form their ...
Dieci, Roberto, Westerhoff, Frank
core
Neimark-Sacker Bifurcation of a Third Order Difference Equation
In this paper, we investigate the bifurcation of a third order rational difference equation. Firstly, we show that the equation undergoes a Neimark-Sacker bifurcation when the parameter reaches a critical value. Then, we consider the direction of the Neimark-Sacker bifurcation. Finally, we give some numerical simulations of our results.
Marwan ALOQEİLİ, Asmaa SHAREEF
openaire +3 more sources
A Robust Rational Route to in a Simple Asset Pricing Model (revised March 2004) [PDF]
We investigate asset pricing dynamics in an adaptive evolutionary asset pricing model with fundamentalists, trend followers and a market maker. Agents can choose between a fundamentalist strategy at positive information cost or choose a trend following ...
Hommes, C.H., Huang, H., Wang, D.
core
Dynamics of a Discrete Internet Congestion Control Model
We consider a discrete Internet model with a single link accessed by a single source, which responds to congestion signals from the network. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation ...
Yingguo Li
doaj +1 more source

