Modelli dinamici di ecosistemi in spazi finito ed infinito dimensionali
Modelli matematici e simulazione numerica di processi di biodegradazione di idrocarburi in suoli inquinati
Modelling and analysis of a pest-control pollution model with integrated control tactics.
Modelling the spiders ballooning effect on the vineyard ecology
We consider an ecosystem in which spiders may be transported by the wind from vineyards into the surrounding woods and vice versa. The model takes into account this tranport phenomenon without building space explicitly into the governing equations. The equilibria of the dynamical system are analyzed together with their stability, showing that bifurcations may occur. Then the effects of indiscriminated spraying to keep pests under control is also investigated via suitable simulations.
Modelling the Spread of Infectious Diseases in Complex Metapopulations
Two main approaches have been considered for modelling the dynamics of the SIS model on complex metapopulations, i.e, networks of populations connected by migratory flows whose configurations are described in terms of the connectivity distribution of nodes (patches) and the conditional probabilities of connections among classes of nodes sharing the same degree. In the first approach migration and transmission/recovery process alternate sequentially,...
Model-matching-based control of the Beverton-Holt equation in ecology.
Models of interactions between heterotrophic and autotrophic organisms
We present two simple models describing relations between heterotrophic and autotrophic organisms in the land and water environments. The models are based on the Dawidowicz & Zalasiński models but we assume the boundedness of the oxygen resources. We perform a basic mathematical analysis of the models. The results of the analysis are complemented by numerical illustrations.
Multilevel Modeling of the Forest Resource Dynamics
We examine the theoretical and applications-specific issues relating to modeling the temporal and spatial dynamics of forest ecosystems, based on the principles of investigating dynamical models. When developing the predictive dynamical models of forest resources, there is a possibility of achieving uniqueness of the solutions to equations by taking into account the initial and boundary conditions of the solution, and the conditions of the geographical environment. We present the results of a computer...
Multiple objective optimization of hydro-thermal systems using Ritz's method.
Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population
Motivated by a mathematical model of an age structured proliferating cell population, we state some new variants of Leray-Schauder type fixed point theorems for (ws)-compact operators. Further, we apply our results to establish some new existence and locality principles for nonlinear boundary value problem arising in the theory of growing cell population in L 1-setting. Besides, a topological structure of the set of solutions is provided.
Nonlinear modelling and qualitative analysis of a real chemostat with pulse feeding.
Nonlinear stabilizing control of an uncertain bioprocess model
In this paper we consider a nonlinear model of a biological wastewater treatment process, based on two microbial populations and two substrates. The model, described by a four-dimensional dynamic system, is known to be practically verified and reliable. First we study the equilibrium points of the open-loop system, their stability and local bifurcations with respect to the control variable. Further we propose a feedback control law for asymptotic stabilization of the closed-loop system towards a...
On a geometrical study of population ecosystems.
On circle map coupled map lattice.
On food chain in a chemostat with distinct removal rates.
On the calculation of optical characters of atmospheric aerosol and soot
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 real-time emission control - case study application
On the study of chemostat model with pulsed input in a polluted environment.