2008 journal article

Disease-induced mortality in density-dependent discrete-time S-I-S epidemic models

JOURNAL OF MATHEMATICAL BIOLOGY, 57(6), 755–790.

By: J. Franke n & A. Yakubu*

author keywords: basin of attraction; disease-induced mortality; multiple attractors
MeSH headings : Biometry; Disease; Disease Outbreaks / statistics & numerical data; Humans; Mathematics; Models, Statistical; Mortality
TL;DR: This work uses a Ricker recruitment function in an SIS model and obtained a three component discrete Hopf (Neimark–Sacker) cycle attractor coexisting with a fixed point attractor, showing that in contrast to corresponding models without disease-induced mortality, the disease-free state dynamics do not drive the disease dynamics. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Signature function for predicting resonant and attenuant population 2-cycles

BULLETIN OF MATHEMATICAL BIOLOGY, 68(8), 2069–2104.

By: J. Franke n & A. Yakubu*

author keywords: attenuance; periodic carrying capacity; periodic demographic characteristic; signature function; resonance
MeSH headings : Animals; Ecosystem; Models, Biological; Population Dynamics
TL;DR: A signature function for predicting the response of discretely reproducing populations to 2-periodic fluctuations of both a characteristic of the environment (carrying capacity), and a characteristics of the population (inherent growth rate) is developed. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Exclusionary population dynamics in size-structured, discrete competitive systems

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 5(3), 235–249.

By: J. Francke & A. Yakubu*

author keywords: extinction; Lyapunov function; chaotic attractor
TL;DR: A discrete multi-species size-structured competition model is considered and by using decreasing growth functions, the self-regulation of species is achieved by using decrease growth functions to achieve coexistence in a chaotic supr transient. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

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