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V Capasso

Publications and source records attributed to V Capasso.

7 recordsLinked to original sources
PubMed1994

Asymptotic behaviour of reaction-diffusion systems in population and epidemic models. The role of cross diffusion.

Cross diffusion has been widely considered in the mathematical modelling of spatially structured ecological and epidemic systems, either in the mechanical description of diffusion or in the stochastic point process description of interacting populations. In this paper mathematical results recently obtained by the authors about the asymptotic behaviour of reaction-diffusion systems with full matrices of diffusion are applied to classes of biological systems.

Animals↗
PubMed1988

Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and to epidemic systems.

The paper contains an extension of the general ODE system proposed in previous papers by the same authors, to include distributed time delays in the interaction terms. The new system describes a large class of Lotka-Volterra like population models and epidemic models with continuous time delays. Sufficient conditions for the boundedness of solutions and for the global asymptotic stability of nontrivial equilibrium solutions are given. A detailed analysis of the epidemic system is given with respect to the conditions for global stability. For a relevant subclass of these systems an existence criterion for steady states is also given.

Animals↗
PubMed1981

Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases.

A reaction-diffusion system which describes the spatial spread of bacterial diseases is studied. It consists of two nonlinear parabolic equations which concern the evolution of the bacteria population and of the human infective population in an urban community, respectively. Different boundary conditions of the third type are considered, for the two variables. This model is suitable to study oro-faecal transmitted diseases in the European Mediterranean regions. A threshold parameter is introduced such that for suitable values of it the epidemic eventually tends to extinction, otherwise a globally asymptotically stable spatially inhomogeneous stationary endemic state appears. The case in which the bacteria diffuse but the human population does not, has also been considered.

Bacterial Infections↗
PubMed1979

A mathematical model for the 1973 cholera epidemic in the European Mediterranean region.

For the cholera epidemic that occurred in the European Mediterranean region in the summer of 1973, a simple deterministic mathematic model is proposed; it consists of a system of two ordinary differential equations which concern the evolution of the human infective population in a town community and of bacteria population in the sea. It is conjectured that the infection process obeys a non linear saturation-type law. A phase space analysis is performed for the system of equations. Conclusions are drawn which concern the evolution of the epidemic and which suggest some indications for the selection of public health policies. The validity of the model is compared with the available data for the town of Bari (Italy).

Cholera↗
PubMedDate not supplied

[Mathematical models in epidemiological studies. I. Application to the epidemic of cholera verified in Bari in 1973].

An analysis of the cholera epidemic which occurred in Bari in 1973, is carried out under the assumption that the main infection source has been the widespread consumption of "raw fish". The analysis is based on a chain-binomial model which appears to be suitable to describe the epidemic. A statistical evaluation of the parameters of the model confirms the initial hypothesis, owing to the observed rapid decreasing of the probability of infection, which occurs immediately after the disinfection of the sewage going into the sea.

Adolescent↗
PubMedDate not supplied

[Mathematical models in epidemiological analysis. II. Typhoid fever: time series analysis (author's transl)].

In this paper the systematic analysis of oro-faecal infectious diseases is continued. In order to propose a dynamic model for the evolution of the endemic typhoid fever, we have studied the behaviour of the number of cases of this disease in the town of Bari (Italy) during the years 1955-1978, by the methods of time series analysis. The analysis has pointed out the typical seasonal character of such a disease, and in particular the presence of a main winter cycle followed by a less evident summer cycle. The stochastic model which has been identified on the basis of the data from 1964 to 1978 allows a forecast for the years after 1978.

Epidemiologic Methods↗