John E Franke
Is this your profile?
Claim your Citation Index profile in order to display more information about you and gain access to Libraries services. Just create or connect your ORCID iD.
Create or connect your ORCID iD
Works (18)
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
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
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.
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
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
