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The cubic growth of AIDS cases: General dependence on early infection rates and distribution of times to appearance of clinical symptoms
An observed cubic dependence on time of the cumulative growth in numbers of AIDS patients is shown to be the leading term of a power series in...
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The Transmission Dynamics of Human Immunodeficiency Virus (HIV)
The paper first reviews data on HIV infections and AIDS disease among homosexual men, heterosexuals, IV-drug abusers and children born to infected...
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Mathematical formulation and studies of the risk parameters involved in HIV transmission
The probability of becoming infected with HIV is formulated in terms of the total number of sexual contacts ( N ), the probability that a sexual act is...
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The Role of Long Periods of Infectiousness in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS)
Single and multiple group models for the spread of HIV (human immunodeficiency virus) are introduced. Partial analytical results for these models are...
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Review of Recent Models of HIV/AIDS Transmission
HIV, the human immunodeficiency acquired immunodeficiency syndrome virus, is the etiological agent for AIDS (acquired immuno deficiency syndrome). In...
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A Model for HIV Transmission and AIDS
The model formulated for transmission of HIV (the AIDS virus) and the subsequent progression to AIDS is a system of nonlinear differential equations....
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The Effect of Social Mixing Patterns on the Spread of AIDS
Mathematical models of the transmission of the AIDS virus can help us better understand the spread of the AIDS epidemic and prepare for the future....
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Epidemic Models and the Dynamics of Infectious Diseases
The study of epidemics has a long history with a vast variety of models and explanations for the spread and cause of epidemic outbreaks. Even today...
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Three Basic Epidemiological Models
There are three basic types of deterministic models for infectious diseases which are spread by direct person-to-person contact in a population. Here...
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Possible Demographic Consequences of HIV/AIDS Epidemics: II, Assuming HIV Infection does not Necessarily Lead to AIDS
It seems likely that mortality associated with HIV/AIDS infections, transmitted horizontally by heterosexual contacts among adults and vertically to...
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Some Applications of Structured Models in Population Dynamics
It is now a well-known fact that age or size structure often affects qualitative changes in the dynamics of population models (see Nisbet and Gurney...
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Zu versicherungsmathematischen Modellen über die Auswirkung von AIDS in der Lebensversicherung
The first part of the paper comprises a review of the currently known actuarial models for describing the epidemiological development of AIDS. It is...
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HIV spread in the San Francisco cohort: Scaling of the effective logistic rate for seropositivity
A simple scaling (semigroup) property is manifest in the functional form of the effective logistic rate for the increase in the HIV seropositive...
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Epidemiological models for sexually transmitted diseases
The classical models for sexually transmitted infections assume homogeneous mixing either between all males and females or between certain subgroups...
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Neue Ergebnisse über AIDS-bedingte Sterblichkeiten und ihre Konsequenzen für die Lebensversicherung
By computer simulation based upon high dimensional differential equations we prognosticate the number of AIDS-cases for several groups with specific...
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Cells
Just as atoms are the fundamental units of elements, the cell is the fundamental unit of structure of all living things except viruses (see Appendix...