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Simple discrete SIS criss-cross model of tuberculosis in heterogeneous population of homeless and non-homeless people

Mariusz BodziochMarcin Choiński — 2019

Mathematica Applicanda

In this paper we propose a discrete criss-cross model of tuberculosis (TB) transmission in a heterogeneous population, which consists of two different subpopulations: homeless and non-homeless people. This criss-cross model is based on the simple continuous SIS model with bilinear transmission function and constant inflow into both subpopulations considered previously by us. We make preliminary stability analysis. We show that to control the spread of the infectious disease in a heterogeneous population...

Analysis of global dynamics for HIV-infection of CD4+T cells and its treatment

Mariusz BodziochMarcin ChoińskiUrszula Foryś — 2018

Mathematica Applicanda

Antiviral therapy for HIV-infected patients has greatly improved in recent years. Administration of drug combinations consisting of two or more different drugs can reduce and maintain virus load below detection level in many patients. Cyclic administration of the immune activator interleukin-2 (IL-2) in combination with highly active antiretroviral therapy (HAART) has been suggested as an effective strategy to realize long-term control of HIV replication in vivo. In this article, we formulate a...

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