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Nonlinear differential and difference equations with applications to population dynamics

Organizer(s):
Name:	Affiliation:	Country:
Kunquan Lan	Toronto Metropolitan University	Canada
Elena Braverman	University of Calgary	Canada
Gunog Seo	Colgate University	USA

Abstract:

This session will bring together researchers working on nonlinear differential and difference equations, as well as their applications to population dynamics modeling. It will not only provide an opportunity to present and discuss recent developments and future directions in this area, but also enable participants to identify primary ideas and open questions and encourage future interdisciplinary collaborations.

List of approved abstract
Name	Affiliation	Title
Ananta Acharya	University of North Carolina Greensboro	Analysis of a competitive reaction-diffusion population dynamics model with density dependent dispersal on the boundary
Elena Braverman	University of Calgary	On linear deterministic and stochastic control of nonlinear chaotic and unstable systems
Paul Eloe	Univeristy of Dayton	Maximum, anti-maximum principles and monotone methods for boundary value problems for Riemann Liouville fractional differential equations in neighborhoods of simple eigenvalues
Jian Fang	Harbin Institute of Technology	Seasonal influence on age-structured invasive species with yearly generation
Wenying Feng	Trent University	Solutions for a class of nonlinear fractional difference equations at resonance
Wei Feng	University of North Carolina Wilmington	Elimination, permanence, and exclusion in a competition model under Allee effects
Christopher S. GOODRICH	School of Mathematics and Statistics, Sydney, UNSW	Monotonicity and Convexity for Discrete Fractional Operators with Applications to Fractional Difference Equations
Alketa Henderson	UNC Greensboro	On the effects of density-dependent dispersal on ecological models with logistic and weak Allee type growth terms
Eymard Hernandez-Lopez	UAGro-TESOEM	Bifurcations of co-dimension two in a model of immune and neoplasia for two ODEs
Yun Kang	Arizona State University	The Role of Demographic and Environmental Stochasticity in a Single Population Model with Component Allee Effects
Lingju Kong	University of Tennessee at Chattanooga	User traffic dynamics in online social networks
Yang Kuang	Arizona State University	Rich and realistic dynamics of resource quality based population models
Rongsong Liu	University of Wyoming	Pause of larval development and their consequences for stage-structured populations
Dustin Nichols	UNC Greensboro	Modeling the effects of trait-mediated dispersal on coexistence of competitors and coexistence of predator-prey species
Gunog Seo	Colgate University	A Non-spatial Host-Parasitoid Model for Pest Control: Insights from Bifurcation Theory
Zhisheng Shuai	University of Central Florida	Population dynamics in heterogeneous networks
Elisa Sovrano	University of Modena and Reggio Emilia (UNIMORE), Italy	Impact of threshold harvesting on the dynamics of age-structured populations
Olga Vasilyeva	Grenfell Campus, Memorial University of Newfoundland	Two examples of using phase plane analysis in nonlinear RDA models
Min Wang	Kennesaw State University	Online social network models with varying population size
Gail Wolkowicz	McMaster University	Different Derivation Techniques for Population Growth Difference Equation Models and their Dynamics
James Yorke	1941	Populations Die-Outs in Ecosystems