In this article, Adomian Method is applied for spatially inhomogeneous Population Balance Equation incorporating breakage and coalescence processes in both batch continuous flow systems. It should be Note that the analytical solutions obtained using technique are not available literature.

In this paper, we formulate a finite population variation of the Fisher-KPP equation using fact that reaction term can be generated from replicator dynamic two-player two-strategy skew-symmetric game. We use prior results Ablowitz and Zeppetella to show resulting system partial differential equations admits travelling wave solution, there are closed form solutions for wave. Interestingly, solut...

We study the dynamics of colonization of a territory by a stochastic population at low immigration pressure. We assume a sufficiently strong Allee effect that introduces, in deterministic theory, a large critical population size for colonization. At low immigration rates, the average precolonization population size is small, thus invalidating the WKB approximation to the master equation. We cir...

Is there an overriding principle of nature, hitherto overlooked, that governs all population behavior? A single principle that drives all the regimes observed in nature: exponential-like growth, saturated growth, population decline, population extinction, oscillatory behavior? In current orthodox population theory, this diverse range of population behaviors is described by many different equati...