Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay.
Stability switches for some class of delayed population models
We study stability switches for some class of delay differential equations with one discrete delay. We describe and use a simple method of checking the change of stability which originally comes from the paper of Cook and Driessche (1986). We explain this method on the examples of three types of prey-predator models with delay and compare the dynamics of these models under increasing delay.
Stabilization and control of some microbial populations
Stabilization for a periodic predator-prey system.
Statistical Study of a Stochastic Model of Two Interacting Species.
Steady state coexistence solutions of reaction-diffusion competition models
Two species of animals are competing in the same environment. Under what conditions do they coexist peacefully? Or under what conditions does either one of the two species become extinct, that is, is either one of the two species excluded by the other? It is natural to say that they can coexist peacefully if their rates of reproduction and self-limitation are relatively larger than those of competition rates. In other words, they can survive if they interact strongly among themselves and weakly...
Strong and weak stability of some Markov operators
An integral Markov operator appearing in biomathematics is investigated. This operator acts on the space of probabilistic Borel measures. Let and be probabilistic Borel measures. Sufficient conditions for weak and strong convergence of the sequence to are given.
Structured Populations, Linear Semigrous and Positivity.
Super and subsolutions for elliptic equations on all of .
Supersensitivity for a discrete-time aggregation model.
Survival in a two-dimensional Lotka-Volterra system.
Systems of nonlinear delay integral equations modelling population growth in a periodic environment
In this paper we study the existence and uniqueness of positive and periodic solutions of nonlinear delay integral systems of the type
Systems of quasilinear parabolic equations with discontinuous coefficients and continuous delays.