1,720,994 research outputs found
N-species Competitive Lotka-Volterra Systems with Adaptation. Mathematical Modelling and Computing in Biology and Medicine
No full textSymmetry Breaking Effects on Equilibria and Time-dependent Regimes in Adaptive Lotka-Volterra Systems
No full textRATIONAL EXEMPTION TO VACCINATION FOR NON-FATAL SIS DISEASES: GLOBALLY STABLE AND OSCILLATORY ENDEMICITY
No full textModeling of pseudo-rational exemption to vaccination for SEIR diseases
No full textA challenge to disease control in modern societies is the spread of pseudo-rational exemption to vaccination, as a consequence of a comparison between the steadily declining risk of infection, and the perceived risk of side effects from the vaccine. Here we consider rational exemption in an SEIR model with information dependent vaccination where individuals use information on the spread of the disease as their information set. Using suitable assumptions, we show the dynamic implications of the interaction between rational exemption and current information. In particular, we show that the vaccinating behavior depending on current information can trigger oscillations, differently from the case of SIR diseases, where an information delay is needed to induce oscillations
Travelling Waves in a Reaction-Diffusion Model for Electrodeposition
No full textIn this paper we consider an analytical and numerical study of a reaction-diffusion system for describing the formation of
transition front waves in some electrodeposition (ECD) experiments. Towards this aim, a model accounting for the coupling between
morphology and composition of one chemical species adsorbed at the surface of the growing cathode is addressed. Through a phasespace
analysis we prove the existence of travelling waves, moving with specific wave speed. The numerical approximation of the
PDE system is performed by the Method of Lines (MOL) based on high order space semi-discretization by means of the Extended
Central Difference Formulae (D2ECDF) introduced in [1]. First of all, to show the advantage of the proposed schemes, we solve the
well-known Fisher scalar equation, focusing on the accurate approximation of the wave profile and of its speed. Hence, we provide
numerical simulations for the electrochemical reaction-diffusion system and we show that the results obtained are qualitatively in
good agreement with experiments for the electrodeposition of Au–Cu alloys
Globally stable endemicity for infectious diseases with information-related changes in contact patterns
No full textSIR and SIS epidemic models with information—related changes in contact patterns are
introduced. The global stability analysis of the endemic equilibrium is performed by
means of the Li–Muldowney geometric approach. Biological implications of the stability
conditions are given
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