The present paper deals with the problem of a ratio-dependent predator-prey model incorporating a prey refuge with disease in the prey-population. We assume the predator population will prefer only infected population for their diet as those are more vulnerable. Dynamical behaviours such as boundedness, local and global stability are addressed. We have also studied the effect of discrete time d...

We provide an axiomatic foundation for the measurement of correlation diversification in a one-period portfolio model. propose set eight desirable axioms this class measures. name measures satisfying these coherent study compatibility our with rank-dependent expected utility theory. also test them against two most frequently used methods measuring theory: variance and ratio. Lastly, we example ...

We present a complete parametric analysis of stability properties and dynamic regimes of an ODE model in which the functional response is a function of the ratio of prey and predator abundances. We show the existence of eight qualitatively different types of system behaviors realized for various parameter values. In particular, there exist areas of coexistence (which may be steady or oscillatin...

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 ...

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...

Ground state geometries have been computed using Density Functional Theory (DFT) at B3LYP/6-31G(d,p) level of theory. The excitation energies and spectroscopic parameters have been computed using Long range Corrected (LC) hybrid functional by Time Dependent Density Functional Theory (TDDFT) with LC-BLYP level of theory. The Polarizable Continuum Model (PC...

context: to evaluate treatment success and hypothyroidism following main methods of radioiodine therapy of toxic nodular goiter (tng); calculated versus fixed dose and high versus low dose of radioiodine. evidence acquisitions: we searched medline and scopus databases from inception till july 2013, for clinical trials that compared two different methods of radioiodine administration in tng. the...