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Showing 4 of 4 academic articles

Mathematical Modeling of Leptospirosis With Misdiagnosis

Japheth Musingila Mwongela, Caroline Kanyiri, Virginia Kitetu • Journal of Applied Mathematics (2026)

Leptospirosis is a widespread zoonotic bacterial disease that continues to pose a major public health challenge, particularly in developing countries where it causes substantial morbidity, mortality, and economic losses. A key problem in co...

DOAJ Open Access (DOAJ) DOI: 10.1155/jama/5513951

Threshold dynamics of a delayed predator–prey model with impulse via the basic reproduction number

Xiangsen Liu, Binxiang Dai • Advances in Difference Equations (2018)

Abstract In this paper, we study a delayed predator–prey model with impulse and, in particular, the existence of the predator-free periodic solution. We employ the approach and techniques coming from epidemiology and calculate the basic rep...

DOAJ Open Access (DOAJ) DOI: 10.1186/s13662-018-1895-1

The Mathematics of Infectious Diseases

Herbert W. Hethcote • SIAM Review (2000)

Abstract. Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number [Formula: see text], the contact numbe...

OPENALEX DOI: https://doi.org/10.1137/s0036144500371907

A Behavioral SIQR-B Model for Cholera Transmission: Impact of Adaptive Risk Perception on Disease Dynamics

Pedro Pablo Cárdenas Alzate, Jaime Alberto Echeverri Franco, Jacobo Echeverri Hoyos • Epidemiologia (2026)

Background/Objectives: Cholera remains a major public health problem, particularly in regions with limited access to safe drinking water and sanitation. Traditional compartmental models may underrepresent adaptive human behavioral responses...

DOAJ Open Access (DOAJ) DOI: 10.3390/epidemiologia7050142