Method of asymptotic partial decomposition a domain (MAPDD) proposed and justified earlier for thin domains (rod structures, tube structures consisting set cylinders) generates some specific interface conditions between three-dimensional one-dimensional parts. In the case heat equation these ensure continuity solution in average normal flux. However computational reasons strong condition may be...

We introduce a new approach to the asymptotic iteration method (AIM) by means of which we establish standard AIM connection with continued fractions technique, and develop novel termination condition in terms approximants. With help this alternative certain properties continuous fractions, derive closed formula for function α $$ \alpha technique an infinite series. Furthermore, show that such s...

here, a predator-prey model with hassell-varley type functional responses is studied. some sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using comparison theorem and constructing a suitable lyapunov functional. moreover, an example is illustrated to verify the results by simulation.