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Displaying 61 –
80 of
109
Contact behavior plays an important role in influenza transmission. In the progression of
influenza spread, human population reduces mobility to decrease infection risks. In this
paper, a mathematical model is proposed to include adaptive mobility. It is shown that the
mobility response does not affect the basic reproduction number that characterizes the
invasion threshold, but reduces dramatically infection peaks, or removes the peaks.
Numerical...
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.
Tuberculosis (TB) is the leading cause of death among individuals infected with the
hepatitis B virus (HBV). The study of the joint dynamics of HBV and TB present formidable
mathematical challenges due to the fact that the models of transmission are quite
distinct. We formulate and analyze a deterministic mathematical model which incorporates
of the co-dynamics of hepatitis B and tuberculosis. Two sub-models, namely: HBV-only and
TB-only sub-models...
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.
Modern physics theories claim that the dynamics of interfaces between
the two-phase is described by the evolution equations involving the
curvature and various kinematic energies. We consider the motion of
spiral-shaped polygonal curves by its crystalline curvature, which
deserves a mathematical model of real crystals. Exploiting the
comparison principle, we show the local existence and uniqueness of the
solution.
A necessary and sufficient condition is given for the carrying simplex of a dissipative totally competitive system of three ordinary differential equations to have a peak singularity at an axial equilibrium. For systems of Lotka-Volterra type that result translates into a simple condition on the coefficients.
Currently displaying 61 –
80 of
109