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- Karl Peter Hadeler, Carlos Castillo-Chavez
- Mathematical biosciences
- 1995

Models for sexually transmitted diseases generally assume that the size of the core group is fixed. Publicly available information on disease prevalence may influence the recruitment of newâ€¦ (More)

- Klaus Dietz, Karl Peter Hadeler
- Journal of mathematical biology
- 1988

The classical models for sexually transmitted infections assume homogeneous mixing either between all males and females or between certain subgroups of males and females with heterogeneous contactâ€¦ (More)

- Karl Peter Hadeler, H. I. Freedman
- Journal of mathematical biology
- 1989

A predator-prey model, where both species are subjected to parasitism, is developed and analyzed. For the case where there is coexistence of the predator with the uninfected prey, an epidemicâ€¦ (More)

We study an extension of the diffusive logistic equation or Fisherâ€™s equation for a situation where one part of the population is sedentary and reproducing, and the other part migrating and subjectâ€¦ (More)

- Karl Peter Hadeler
- Acta applicandae mathematicae
- 1989

The modelling problems associated with pair formation in age-structured populations are discussed in this paper. The author also formulates a class of models for pair formation in human populationsâ€¦ (More)

- Karl Peter Hadeler, R WaldstÃ¤tter, A WÃ¶rz-Busekros
- Journal of mathematical biology
- 1988

Birth, death, pair formation, and separation are described by a system of three nonlinear homogeneous ordinary differential equations. The qualitative properties of the system are investigated, inâ€¦ (More)

Some classical neural network systems including the Hartlineâ€“Ratliff system, the Linsker system, and the general sigmoid dynamics, are reconsidered within a more general class of dynamical systems.â€¦ (More)

- Karl Peter Hadeler, Pauline van den Driessche
- Mathematical biosciences
- 1997

For a class of epidemiological SIRS models that include public health policies, the stability at the uninfected state and the prevalence at the infected state are investigated. Backward bifurcationâ€¦ (More)

For reaction-diffusion equations with delay, the joint effects of diffusion and delay are studied. In particular, for two-dimensional systems where only the interaction between species is delayed,â€¦ (More)

- Karl Peter Hadeler
- Mathematical biosciences
- 2011

Starting from a recent paper of Pollicott, Wang and Weiss we try to obtain improved representation formulas for the estimation of the time-dependent transmission rate of an epidemic in terms ofâ€¦ (More)