The pattern of genetic hitchhiking under recurrent mutation.
The periods of the Volterra-Lotka system.
The permanence and extinction of a discrete predator-prey system with time delay and feedback controls.
The permanence in a single species nonautonomous system with delays and feedback control.
The Phylogeny Graphs of Doubly Partial Orders
The competition graph of a doubly partial order is known to be an interval graph. The CCE graph and the niche graph of a doubly partial order are also known to be interval graphs if the graphs do not contain a cycle of length four and three as an induced subgraph, respectively. Phylogeny graphs are variant of competition graphs. The phylogeny graph P(D) of a digraph D is the (simple undirected) graph defined by V (P(D)) := V (D) and E(P(D)) := {xy | N+D (x) ∩ N+D(y) ¹ ⊘ } ⋃ {xy | (x,y) ∈ A(D)},...
The population dynamics of conflict and cooperation.
The rate of satiation in a cooperative system
The role of delay in digestion of plankton by fish population: A fishery model.
The role of the incubation period in a disease model.
The Second Half-With a Quarter of a Century Delay
We show how results by Diekmann et al. (2007) on the qualitative behaviour of solutions of delay equations apply directly to a resource-consumer model with age-structured consumer population.
The Speed of Epidemic Waves in a One-Dimensional Lattice of SIR Models
A one-dimensional lattice of SIR (susceptible/infected/removed) epidemic centres is considered numerically and analytically. The limiting solutions describing the behaviour of the standard SIR model with a small number of initially infected individuals are derived, and expressions found for the duration of an outbreak. We study a model for a weakly mixed population distributed between the interacting centres. The centres are modelled as SIR nodes with interaction between sites determined by a diffusion-type...
The transylvanian problem of renewable resources
The tree of life and other affine buildings.
The Uniform Minimum-Ones 2SAT Problem and its Application to Haplotype Classification
Analyzing genomic data for finding those gene variations which are responsible for hereditary diseases is one of the great challenges in modern bioinformatics. In many living beings (including the human), every gene is present in two copies, inherited from the two parents, the so-called haplotypes. In this paper, we propose a simple combinatorial model for classifying the set of haplotypes in a population according to their responsibility for a certain genetic disease. This model is based...
The Virgin Island model.
Theorem on signatures
Time discrete 2-sex population model
A time-discrete 2-sex model with gestation period is analysed. It is significant that the conditions for local stability of a nontrivial steady state do not require that the expected number of female offspring per female equal unity. This is in contrast to results obtained by Curtin and MacCamy [4] and the author [10].
Time to the convergence of evolution in the space of population states
Phenotypic evolution of two-element populations with proportional selection and normally distributed mutation is considered. Trajectories of the expected location of the population in the space of population states are investigated. The expected location of the population generates a discrete dynamical system. The study of its fixed points, their stability and time to convergence is presented. Fixed points are located in the vicinity of optima and saddles. For large values of the standard deviation...
TRANSCAT DSS architecture and modelling services
Transformation semigroups and L1-approximation for size structured population models.