Genetic linkage analysis: An irregular statistical problem.
Genetické algebry. Věnováno prof. RNDr. Ladislavu Procházkovi, DrSc., k jeho 75. narozeninám
Genetický kód aneb Studovala příroda teorii kódů?
Global asymptotic stability of 3-species mutualism models with diffusion and delay effects.
Global Asymptotic Stability of Equilibria in Models for Virus Dynamics
In this paper several models in virus dynamics with and without immune response are discussed concerning asymptotic behaviour. The case of immobile cells but diffusing viruses and T-cells is included. It is shown that, depending on the value of the basic reproductive number R0 of the virus, the corresponding equilibrium is globally asymptotically stable. If R0 < 1 then the virus-free equilibrium has this property, and in case R0 > 1 there is a unique disease equilibrium which takes over this...
Global attractivity for a differential-difference population model.
Global attractivity in a genotype selection model.
Global attractivity of the equilibrium of a nonlinear difference equation
The authors consider the nonlinear difference equation with . They give sufficient conditions for the unique positive equilibrium of (0.1) to be a global attractor of all positive solutions. The results here are somewhat easier to apply than those of other authors. An application to a model of blood cell production is given.
Global behavior for a diffusive predator-prey model with stage structure and nonlinear density restriction. I: The case in .
Global behavior for a diffusive predator-prey model with stage structure and nonlinear density restriction. II: The case in .
Global behaviors and optimal harvesting of a class of impulsive periodic logistic single-species system with continuous periodic control strategy.
Global behaviors of a chemostat model with delayed nutrient recycling and periodically pulsed input.
Global dynamics behaviors of viral infection model for pest management.
Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections
We describe the global dynamics of a disease transmission model between two regions which are connected via bidirectional or unidirectional transportation, where infection occurs during the travel as well as within the regions. We define the regional reproduction numbers and the basic reproduction number by constructing a next generation matrix. If the two regions are connected via bidirectional transportation, the basic reproduction number characterizes the existence of equilibria as well as...
Global dynamics of a HIV transmission model.
Global dynamics of an epidemic model with a ratio-dependent nonlinear incidence rate.
Global dynamics of discrete competitive models with large intrinsic growth rates.
Global existence and asymptotic behaviour for a degenerate diffusive SEIR model.
Global Existence and Boundedness of Solutions to a Model of Chemotaxis
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial differential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in n-dimensional space. We prove the existence of solutions, which exist globally, and are L∞-bounded on finite time intervals. The hypotheses require nonlocal conditions on the species-induced production of the chemoattractant.
Global existence and convergence of solutions to a cross-diffusion cubic predator-prey system with stage structure for the prey.