On a certain model of an epidemic
On a certain nonlinear problem for two-dimensional differential systems
On a Fokker-Planck equation arising in population dynamics.
On a generalized discrete ratio-dependent predator-prey system.
On a new reliable algorithm.
On a nonlinear integral equation modelling an epidemic in an age-structured population.
On a periodic predator-prey system with Holling III functional response and stage structure for prey.
On a periodic time-dependent model of population dynamics with stage structure and impulsive effects.
On bilinear kinetic equations. Between micro and macro descriptions of biological populations
In this paper a general class of Boltzmann-like bilinear integro-differential systems of equations (GKM, Generalized Kinetic Models) is considered. It is shown that their solutions can be approximated by the solutions of appropriate systems describing the dynamics of individuals undergoing stochastic interactions (at the "microscopic level"). The rate of approximation can be controlled. On the other hand the GKM result in various models known in biomathematics (at the "macroscopic level") including...
On mixing processes and the lost-games distribution
On monotone and Schwarz alternating methods for nonlinear elliptic PDEs
The Schwarz alternating method can be used to solve elliptic boundary value problems on domains which consist of two or more overlapping subdomains. The solution is approximated by an infinite sequence of functions which results from solving a sequence of elliptic boundary value problems in each of the subdomains. In this paper, proofs of convergence of some Schwarz alternating methods for nonlinear elliptic problems which are known to have solutions by the monotone method (also known as the method...
On Monotone and Schwarz Alternating Methods for Nonlinear Elliptic PDEs
The Schwarz alternating method can be used to solve elliptic boundary value problems on domains which consist of two or more overlapping subdomains. The solution is approximated by an infinite sequence of functions which results from solving a sequence of elliptic boundary value problems in each of the subdomains. In this paper, proofs of convergence of some Schwarz alternating methods for nonlinear elliptic problems which are known to have solutions by the monotone method (also known as the method...
On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
In this survey, we briefly review some of our recent studies on predator-prey models with discrete delay. We first study the distribution of zeros of a second degree transcendental polynomial. Then we apply the general results on the distribution of zeros of the second degree transcendental polynomial to various predator-prey models with discrete delay, including Kolmogorov-type predator-prey models, generalized Gause-type predator-prey models with harvesting, etc. Bogdanov-Takens bifurcations...
On oscillation of a food-limited population model with time delay.
On regularly varying and history-dependent convergence rates of solutions of a Volterra equation with infinite memory.
On the age-dependent predator-prey model
The paper deals with the description of a model which is the synthesis of two classical models, the Lotka-Volterra and McKendrick-von Foerster models. The existence and uniqueness of the solution for the new population problem are proved, as well the asymptotic periodicity but under some simplifying assumptions.
On the complex formation approach in modeling predator prey relations, mating, and sexual disease transmission.
On the control of a truncated general immigration process through the introduction of a predator.
On the dense trajectory of Lasota equation.
On the difference equation .