Zur Construction des Polarsystems einer Fläche dritter Ordnung
Ueber die Aufgabe, alle Elemente einer q-gliedrigen Gruppe binärer Formen zu construiren, wenn q dieser Formen gegeben sind
Die Flächen 3. O. als Ordnungsflächen von Polarsystemen
Ueber die Flächen zweiten Grades, für welche zwei Flächen zweiten Grades zu einander polar sind
The Asymptotic Behaviour of Solutions of Nonlinear Integral Equations.
Renewal theorems for linear discrete Volterra equations.
On a Class of Hammerstein Integral Equations.
On the Boundedness and the Asymptotic Behaviour of the Non-Negative Solutions of Volterra-Hammerstein Integral Equations.
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
On the complex formation approach in modeling predator prey relations, mating, and sexual disease transmission.
Semilinear perturbations of Hille-Yosida operators
The semilinear Cauchy problem (1) u’(t) = Au(t) + G(u(t)), , with a Hille-Yosida operator A and a nonlinear operator G: D(A) → X is considered under the assumption that ||G(x) - G(y)|| ≤ ||B(x -y )|| ∀x,y ∈ D(A) with some linear B: D(A) → X, , where V is of suitable small strong variation on some interval [0,ε). We will prove the existence of a semiflow on that provides Friedrichs solutions in L₁ for (1). If X is a Banach lattice, we replace the condition above by |G(x) - G(y)| ≤ Bv whenever...
Stability of the Endemic Coexistence Equilibrium for One Host and Two Parasites
For an SI type endemic model with one host and two parasite strains, we study the stability of the endemic coexistence equilibrium, where the host and both parasite strains are present. Our model, which is a system of three ordinary differential equations, assumes complete cross-protection between the parasite strains and reduced fertility and increased mortality of infected hosts. It also assumes that one parasite strain is exclusively vertically...
Perturbation Theory for Dual Semigroups. I. The Sun-Reflexive Case.
A Hille-Yosida theorem for a class of weakly * continuous semigroups.
An Epidemic Model With Post-Contact Prophylaxis of Distributed Length II. Stability and Oscillations if Treatment is Fully Effective
A possible control strategy against the spread of an infectious disease is the treatment with antimicrobials that are given prophylactically to those that had contact with an infective person. The treatment continues until recovery or until it becomes obvious that there was no infection in the first place. The model considers susceptible, treated uninfected exposed, treated infected, (untreated) infectious, and recovered individuals. The overly optimistic assumptions are made that treated uninfected...
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