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Equilibrium Strategy and Application of Pareto Cooperative Game With Linear Quadratic Positive System

open access: yesIEEE Access
In this study, we study the equilibrium strategy of a Pareto cooperative differential game with a continuous-time linear positive system in the infinite time domain and a quadratic performance index.
Wenxin Yao, Chengke Zhang
doaj   +3 more sources

Global attractivity of a higher order nonlinear difference equation with unimodal terms [PDF]

open access: yesOpuscula Mathematica, 2023
In the present paper, we study the asymptotic behavior of the following higher order nonlinear difference equation with unimodal terms \[x(n+1)= ax(n)+ bx(n)g(x(n)) + cx(n-k)g(x(n-k)), \quad n=0, 1, \ldots,\] where \(a\), \(b\) and \(c\) are constants ...
Abdulaziz Almaslokh, Chuanxi Qian
doaj   +1 more source

Dynamic Positive Equilibrium Problem [PDF]

open access: yesSSRN Electronic Journal, 2001
The Dynamic Positive Equilibrium Problem (DPEP) is a methodology for dealing with time series about economic agents' decisions, regardless of the amount of available information. The approach is articulated in three phases, as in the static counterpart Symmetric Positive Equilibrium Problem (SPEP), with the variant that it must be preceded by the ...
Paris, Quirino, Paris, Quirino
openaire   +4 more sources

On global attractivity of a higher order difference equation and its applications

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
Consider the following higher order difference equation \begin{align*} x(n+1)= ax(n)+ bf( x(n)) + cf(x(n-k)), \qquad n=0, 1, \dots \end{align*} where $a, b $ and $c$ are constants with ...
Abdulaziz Almaslokh, Chuanxi Qian
doaj   +1 more source

Mathematical modelling and release thresholds of transgenic sterile mosquitoes

open access: yesJournal of Biological Dynamics, 2023
We formulate simple differential equation models to study the impact of releases of transgenic sterile mosquitoes carrying a dominant lethal on mosquito control based on the modified sterile insects technique.
Jianshe Yu, Jia Li
doaj   +1 more source

Global Behavior of an Arbitrary-Order Nonlinear Difference Equation with a Nonnegative Function

open access: yesMathematics, 2020
Let k , l be two integers with k ≥ 0 and l ≥ 2 , c a real number greater than or equal to 1, and f a multivariable function satisfying f ( w 1 , w 2 , w 3 , ⋯ , w l ) ≥ 0 when w 1 , w 2 ≥ 0 .
Wen-Xiu Ma
doaj   +1 more source

Stability Analysis of a Ratio-Dependent Predator-Prey Model

open access: yesJournal of Mathematics, 2022
In this study, a ratio-dependent predator-prey model is investigated. The local stability and global stability of the nonnegative boundary equilibrium and positive equilibrium of the model are discussed, respectively. Sufficient condition is obtained for
Pei Yao, Zuocheng Wang, Lingshu Wang
doaj   +1 more source

Global Stability of a Predator-Prey Model with Ivlev-Type Functional Response

open access: yesMathematics in Applied Sciences and Engineering, 2020
A predator-prey model with Ivlev-Type functional response is studied. The main purpose is to investigate the global stability of a positive (co-existence) equilibrium, whenever it exists.
Yinshu Wu, Wenzhang Huang
doaj   +1 more source

Law of One Price under Equilibrium Price Dispersion: Arbitrage and Optimization of Search [PDF]

open access: yesЖурнал институциональных исследований, 2016
If the demand under price dispersion is formed by consumers with zero search costs and consumers with positive search costs, the law of one price holds at the equilibrium price level, where the lowest willingness to pay between consumers with zero search
Malakhov Sergey, V.
doaj   +1 more source

Dynamics of Stage-Structured Predator–Prey Model with Beddington–DeAngelis Functional Response and Harvesting

open access: yesMathematics, 2021
In this paper, we investigate the stability of equilibrium in the stage-structured and density-dependent predator–prey system with Beddington–DeAngelis functional response.
Haiyin Li, Xuhua Cheng
doaj   +1 more source

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