A matrix is called totally nonnegative (TN)[totally positive (TP)] if all its minors are
nonnegative [positive]. Multiplying a vector by a TN matrix does not increase the number of …

In 1970, Binyamin Schwarz defined and analyzed totally positive differential systems
(TPDSs), ie, linear time-varying systems whose transition matrix is totally positive. He …

We consider semiflows in general Banach spaces motivated by monotone cyclic feedback
systems or differential equations with integer-valued Lyapunov functionals. These semiflows …

We consider a C 1, α smooth flow in R d which is “strongly monotone” with respect to a cone
C of rank k, a closed set that contains a linear subspace of dimension k and no linear …

The structure of the ω-limit sets is thoroughly investigated for the skew-product semiflow
which is generated by a scalar reaction-diffusion equation ut= ux x+ f (t, u, ux), t> 0, x∈ S 1 …

We investigated a linear random dynamical system which strongly preserves a cone C of
dimension-k (abbr. k-cone) in R n. Under some general assumptions, it is shown that such …

We give the global distribution of the limit sets for competitive dynamical systems in Rn. The
main result is that, for dissipative competitive dynamical systems in Rn, there is a countable …

In this paper, we investigate a tridiagonal three-species competition model with seasonal
succession. The Floquet multipliers of all nonnegative periodic solutions of such a time …

Herein, we consider the dynamics of $ C^ 1$-perturbed almost periodic systems with strong
cone conditions in the sketch of skew-product semiflows. With some suitable dissipative …

Transversality of the stable and unstable manifolds of hyperbolic periodic solutions is proved
for tridiagonal competitive-cooperative time-periodic systems. We further show that such …