In this paper, we originate results with finite difference schemes to approximate the solution of the classical Fisher Kolmogorov Petrovsky Piscounov (KPP) equation from population dynamics. Fisher’s equation describes a balance between linear diffusion and nonlinear reaction. Numerical example illustrates the efficiency of the proposed schemes, also the Neumann stability analysis reveals that ...

Brinker is the key target protein of the Drosophila Decapentaplegic morphogen signalling pathway. Brinker is widely expressed and can bind with DNA. NMR spectra suggest that apo-Brinker is intrinsically unstructured and undergoes a folding transition upon DNA-binding. However, the coupled mechanism of binding and folding is poorly understood. Here, we performed molecular dynamics (MD) simulatio...

An exact theory of irreversibility was proposed by Misra, Prigogine and Courbage (MPC) based on a non-unitary similarity transformation Λ mapping reversible dynamics into irreversible ones. In a previous work a characterization of the irreversible dynamics induced by the MPC theory, the structure of the reversible evolutions admitting such type of change of representation and a prototype for th...

background : the population of mosquitoes is mainly influenced by the biotic and abiotic factors. although aedes aegypti was reported until 1960’s in the punjab, pakistan, the population has increased dramatically since 2009 and caused severe epidemics in 2011 due to heavy floods and rains. thus, this study was carried out to know the effect of biotic and abiotic factors on the population of ae...

Abstract In this paper we consider the symmetric Kolmogorov operator $$L=\Delta +\frac{\nabla \mu }{\mu }\cdot \nabla $$ L = ? + ? ? · on $$L^2({\mathbb {R}}^N,...

We describe a general Godunov-type splitting for numerical simulations of the Fisher-Kolmogorov-Petrovski-Piskunov growth and diffusion equation on a world map with Neumann boundary conditions. The procedure is semi-implicit, hence quite stable. Our principal application for this solver is modeling human population dispersal over geographical maps with changing paleovegetation and paleoclimate ...