scientists are interested in find out “how to use living resources without damaging the ecosystem at the same time?” from nineteen century because the living resources are limited. thus, the harvested rate is used as the control parameters. moreover, the study of harvested population dynamics is more realistic.    in the present paper, some predator-prey models in which two ecologically interac...

in this paper, we study the existence, asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equation$$ x_{n+1}=frac{ax_n+x_{n-1}}{b+x_{n-1}}, n=0,1,cdots,$$ where $(x_n)$ is a sequence of positive fuzzy number, $a, b$ are positive fuzzy numbers and the initial conditions $x_{-1}, x_0$ are positive fuzzy numbers.

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The interactions between economics and thermodynamic efficiency in the design of reactive distillation (RD) processes are explored. Our motivation derives from taking a sustainable lifespan perspective, where not only economics, but also exergy-efficiency and controllability should be borne in mind. Furthermore, novel process configurations might be generated and optimized (e.g. diabatic RD uni...

In an attempt to explain and forecast the behavior of economic variables and of the economy as a whole, each school of economics creates its own system of paradigms, premises and models. The New Keynesian school of thought developed from the traditional Keynesian insights tries to offer additional explanations, based on microeconomic foundations, for such phenomena as economy-wide fluctuations ...

Models that admit only equilibrium solutions are prevalent in neoclassical economics and modern finance. Such solutions lack path dependence and evolve only in reaction to exogenous changes but, worryingly, the stability of these solutions and the nature of any non-equilibrium alternatives are rarely considered. We describe how such equilibrium solutions, and the modeling assumptions underpinni...

For a number of reasons a large class of general equilibrium models from the ®eld of resource economics does not allow for an equilibrium analysis along the lines of the theory of in®nite dimensional commodity spaces. The reasons concern the choice of the commodity space and the applicability of properness assumptions with respect to preferences and the technology. This paper illustrates the di...