Results 1 to 10 of about 351,052 (167)
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
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Global attractivity of a higher order nonlinear difference equation with unimodal terms [PDF]
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
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Dynamic Positive Equilibrium Problem [PDF]
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
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On global attractivity of a higher order difference equation and its applications
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
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Mathematical modelling and release thresholds of transgenic sterile mosquitoes
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
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Global Behavior of an Arbitrary-Order Nonlinear Difference Equation with a Nonnegative Function
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
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Stability Analysis of a Ratio-Dependent Predator-Prey Model
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
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Global Stability of a Predator-Prey Model with Ivlev-Type Functional Response
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
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Law of One Price under Equilibrium Price Dispersion: Arbitrage and Optimization of Search [PDF]
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.
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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
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