The existence of positive periodic solutions for a delayed discrete predator-prey model with Holling-type-III functional responseN1(k+1)=N1(k)exp{b1(k)−a1(k)N1(k− [τ1]) −α1(k)N1(k)N2(k)/(N 1 (k) +m2N 2 (k))}, N2(k + 1) = N2(k)exp{−b2(k) + α2(k)N 1 (k − [τ2])/(N 1 (k − [τ2]) + m2N 2 (k − [τ2]))} is established by using the coincidence degree theory. We also present sufficient conditions for the ...

This paper deals with the stability properties of a closed market, where capital and labour force are acting like a predator–prey system in population–dynamics. The spatial movement of the capital and labour force are taken into account by cross–diffusion effect. First, we are showing two possible ways for modeling this system in only one country’s market (applying a simple functional response ...

In biomathematics, many mathematical models have been established to describe the relationships between species and the outer environment, and the connections between different species. Among the relationships between the species living in the same outer environment, the predator-prey theory plays an important and fundamental role. The dynamic relationship between predators and their prey has l...

introduction: intranodal pathways of atrioventricular (av) node play a vital role in the delay of conduction time in response to various atrial inputs. the present study was aimed to determine the frequency-dependent electrophysiological properties of concealed slow pathway according to a functional model of isolated rabbit atrioventricular node preparation after fast pathway ablation. methods:...