John E. Franke
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Works (18)
Updated: July 5th, 2023 16:03
2012 journal article
Predicting attenuant and resonant 2-cycles in periodically forced discrete-time two-species population models
JOURNAL OF BIOLOGICAL DYNAMICS, 6(2), 782–812.
author keywords: attenuance; competition; periodic forcing; resonance; signature function
MeSH headings : Conservation of Natural Resources; Models, Biological; Periodicity; Population Dynamics; Species Specificity; Time Factors
www.tandfonline.com (publisher PDF)
Source: Web Of Science
Added: August 6, 2018
2011 journal article
PERIODICALLY FORCED DISCRETE-TIME SIS EPIDEMIC MODEL WITH DISEASE INDUCED MORTALITY
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 8(2), 385–408.
author keywords: Epidemics; infectives; periodic environments; susceptibles
Source: Web Of Science
Added: August 6, 2018
2008 journal article
Disease-induced mortality in density-dependent discrete-time S-I-S epidemic models
JOURNAL OF MATHEMATICAL BIOLOGY, 57(6), 755–790.
author keywords: basin of attraction; disease-induced mortality; multiple attractors
MeSH headings : Biometry; Disease; Disease Outbreaks / statistics & numerical data; Humans; Mathematics; Models, Statistical; Mortality
Source: Web Of Science
Added: August 6, 2018
2007 article
Using a signature function to determine resonant and attenuant 2-cycles in the Smith-Slatkin population model
Franke, J. E., & Yakubu, A.-A. (2007, April). JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Vol. 13, pp. 289–308.
author keywords: attenuant; periodic forcing; resonant; signature function; Smith-Slatkin model
Source: Web Of Science
Added: August 6, 2018
2006 journal article
Asymptotic behavior of Markov semigroups on preduals of von Neumann algebras
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 314(2), 749–763.
author keywords: von neumann algebra; predual; Markov operator; mean ergodicity; statistical stability; domination
Source: Web Of Science
Added: August 6, 2018
2006 journal article
Discrete-time sis epidemic model in a seasonal environment
SIAM JOURNAL ON APPLIED MATHEMATICS, 66(5), 1563–1587.
author keywords: epidemics; infectives; periodic environments; susceptibles
Source: Web Of Science
Added: August 6, 2018
2006 journal article
Globally attracting attenuant versus resonant cycles in periodic compensatory Leslie models
MATHEMATICAL BIOSCIENCES, 204(1), 1–20.
MeSH headings : Animals; Biological Clocks; Ecosystem; Models, Biological; Population Dynamics; Tribolium / growth & development
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.
author keywords: attenuance; periodic carrying capacity; periodic demographic characteristic; signature function; resonance
MeSH headings : Animals; Ecosystem; Models, Biological; Population Dynamics
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Multiple attractors via CUSP bifurcation in periodically varying environments
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 11(4-5), 365–377.
author keywords: periodic dynamical systems; semi-conjugacy; tangent bifurcation; multiple attractors
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Periodic dynamical systems in unidirectional metapopulation models
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 11(7), 687–700.
author keywords: metapopulation; multiple attractors; nonautonomous models; periodic dynamical systems; unidirectional dispersal
Source: Web Of Science
Added: August 6, 2018
2005 journal article
Population models with periodic recruitment functions and survival rates
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 11(14), 1169–1184.
author keywords: attenuance; periodic carrying capacity; periodic survival rate; resonance
Source: Web Of Science
Added: August 6, 2018
2004 journal article
Probabilities of extinction, weak extinction permanence, and mutual exclusion in discrete, competitive, Lotka-Volterra systems
Computers & Mathematics With Applications, 47(03-Feb), 365–379.
Source: NC State University Libraries
Added: August 6, 2018
2004 journal article
Probabilities of extinction, weak extinction, permanence, and mutual exclusion in discrete, competitive, Lotka-Volterra systems that involve invading species
MATHEMATICAL AND COMPUTER MODELLING, 40(7-8), 809–821.
author keywords: extinction; permanence; mutual exclusion; competition; Lotka-Volterra; weak extinction; invader; strongly permanent
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Attractors for discrete periodic dynamical systems
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 286(1), 64–79.
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Multiple extinctions in a discrete competitive system
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2(1), 75–91.
author keywords: extinction; Lyapunov function; omega-limit set; weakly dominate; competition
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.
author keywords: extinction; Lyapunov function; chaotic attractor
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Global attractivity and convergence to a two-cycle in a difference equation
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 5(2), 203–209.
author keywords: global attractivity; two-cycle; population model
Source: Web Of Science
Added: August 6, 2018
1997 article
Principles of competitive exclusion for discrete populations with reproducing juveniles and adults
Franke, J. E., & Yakubu, A. A. (1997, December). NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Vol. 30, pp. 1197–1205.
Source: Web Of Science
Added: August 6, 2018
