The basic idea of evolutionary game theory is that payoff determines reproductive rate. Successful individuals have a higher payoff and produce more offspring. But in evolutionary and ecological situations there is not only reproductive rate but also carrying capacity. Individuals may differ in their exposure to density limiting effects. Here we explore an alternative approach to evolutionary g...

We unfold the bifurcation involving the loss of evolutionary stability of an equilibrium of the canonical equation of Adaptive Dynamics (AD). The equation deterministically describes the expected long-term evolution of inheritable traits — phenotypes or strategies — of coevolving populations, in the limit of rare and small mutations. In the vicinity of a stable equilibrium of the AD canonical e...

In this investigation a non-equilibrium thermodynamic model of the temperature dependent biological growth of a living systems has been analyzed. The results are derived on the basis of Gompertzian growth equation. In this model, we have considered the temperature dependent growth rate and development parameter. The non-equilibrium thermodynamic model is also considered for exploring the variat...

the binding of sodium n-dodecyl sulphate (sds) to aspergillus niger catalase in various ionic strengths at ph 6.4 and a temperature of 27? and 37?c has been studied over a range of sds concentrations using equilibrium dialysis and fluorescence spectroscopy techniques. the binding data were used and interpreted in terms of theoretical models (scatchard equation and wyman binding potential). the ...

Pagan and Shannon’s (1985) widely used approach employs local linearizations of a system of non-linear equations to obtain asymptotic distributions for the endogenous parameters (such as prices) from distributions over the exogenous parameters (such as estimates of taste, technology, or policy variables, for example). However, this approach ignores both the possibility of multiple equilibria as...

We consider the Laplacian of a finite network as a kernel on the vertex set. The properties of this kernel allow us to assign to every proper set an equilibrium measure and a capacity. So, we can build a discrete Potential Theory with respect to the Laplacian kernel on networks. We aim here at showing how equilibrium measures can be used to obtain simple expressions for both Poisson and Green k...

We show that the value function of the optimal stopping game for a rightcontinuous strong Markov process can be identified via equality between the smallest superharmonic and the largest subharmonic function lying between the gain and the loss function (semiharmonic characterisation) if and only if the Nash equilibrium holds (i.e. there exists a saddle point of optimal stopping times). When spe...

We present a statistical physics framework for description of nonlinear non-equilibrium stochastic processes, modeled via chemical master equation, in the weak-noise limit. Using the Poisson representation approach and applying the large-deviation principle we first solve the master equation. Then we use the notion of the non-equilibrium free energy to derive an integral fluctuation relation fo...

We present and discuss a variance-reduced stochastic particle method for simulating the relaxation-time model of the Boltzmann transport equation. The present paper focuses on the dilute gas case, although the method is expected to directly extend to all fields (carriers) for which the relaxation-time approximation is reasonable. The variance reduction, achieved by simulating only the deviation...

We develop the stochastic approach to thermodynamics based on stochastic dynamics, which can be discrete (master equation) and continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of entropy itself and the second the definition of entropy production rate, which is non-negative and vanishes in thermodynamic equilibrium. Based on these assump...