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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

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