There are significant theoretical researches on delay differential equation addressing many aspects of the dynamics, for example, stability of equilibria, existence of periodic solutions, complicated behavior, and chaos.
Sections 8.1-8.4 8.1-8.4ively deal with the numberespectivelytive equilibria, local stability of equilibria, existence andealiqueness of minimal period-twitholuthenumberd glofal behavior of solutiononnegativem (1) whequilibriauilocalum curvestabilityeducible cofics.
But first we present the number of nonnegative equilibria, local stability of equilibria, existence and uniqueness of minimal period-two solutions, and the global behavior of solutions to system (1) in Sections 8.1-8.4 8.1-8.4tively.
To summarise, in this section we have shown how the existence and stability of the co-existence steady state depend on the model parameters.
In this paper, we provide characterizations and descriptions of incremental stability in terms of existence of coordinate-invariant notions of incremental Lyapunov functions and contraction metrics, respectively.
Scotland and Northern Ireland offer special advantages for this kind of analysis because of the relative population stability, the existence of an NHS-funded cancer genetics network and the excellence of genealogical and health-related records.
In work [ 1] authors listed three main sources of the instability of feature selection in biomarker discovery: choosing selection algorithms without considering stability, the existence of multiple sets of true markers and small number of samples.
The general sufficient conditions are given ensuring the global exponential stability and existence of periodic solutions of BAM neural networks with delays and reaction diffusion terms.
3, the existence, local stability of the equilibriums and the existence of the local Hopf bifurcation are considered.
For smaller values of f zero (0 < f zero < 1), the stability of the co-existence steady state depends on the ratio δ/ η0 in (23).
Then, by using the so-called first approximation of Krylov and Bogoliubov the stability and existence of limit cycle amplitudes are investigated.
