Related references
Note: Only part of the references are listed.The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system
Yongli Song et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2021)
Dynamics of a toxic producing phytoplankton-zooplankton model with three-dimensional patch
Jingen Yang et al.
APPLIED MATHEMATICS LETTERS (2021)
Diffusive Spatial Movement with Memory
Junping Shi et al.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2020)
Pattern dynamics in a diffusive predator-prey model with hunting cooperations
Shuixian Yan et al.
CHAOS SOLITONS & FRACTALS (2020)
On a Predator-Prey System with Digestion Delay and Anti-predation Strategy
Yang Wang et al.
JOURNAL OF NONLINEAR SCIENCE (2020)
ANALYSIS OF A SPATIAL MEMORY MODEL WITH NONLOCAL MATURATION DELAY AND HOSTILE BOUNDARY CONDITION
Qi An et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2020)
Pattern Dynamics of a Diffusive Toxin Producing Phytoplankton-Zooplankton Model with Three-Dimensional Patch
Dongxue Jia et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2019)
False Exclusion: A Case to Embed Predator Performance in Classical Population Models
David J. S. Montagnes et al.
AMERICAN NATURALIST (2019)
Spatial Memory and Taxis-Driven Pattern Formation in Model Ecosystems
Jonathan R. Potts et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2019)
Spatiotemporal dynamics in the single population model with memory-based diffusion and nonlocal effect
Yongli Song et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2019)
Diffusive spatial movement with memory and maturation delays
Junping Shi et al.
NONLINEARITY (2019)
Spatial Patterns of a Predator-Prey Model with Beddington-DeAngelis Functional Response
Yu-Xia Wang et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2019)
Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system
Yanfei Du et al.
CHAOS (2019)
Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters
Qi An et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2019)
Modeling the Effect of Fear in a Prey-Predator System with Prey Refuge and Gestation Delay
Ankit Kumar et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2019)
Effects of Predator Avoidance Behavior on the Coexistence of Competing Prey
Pacifica Sommers et al.
AMERICAN NATURALIST (2019)
PATTERN FORMATION OF A PREDATOR-PREY MODEL WITH THE COST OF ANTI-PREDATOR BEHAVIORS
Xiaoying Wang et al.
MATHEMATICAL BIOSCIENCES AND ENGINEERING (2018)
Modeling plant virus propagation with delays
Mark Jackson et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2017)
Hopf bifurcation in a reaction-diffusion equation with distributed delay and Dirichlet boundary condition
Qingyan Shi et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2017)
Modeling the Fear Effect in Predator-Prey Interactions with Adaptive Avoidance of Predators
Xiaoying Wang et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2017)
Modelling the fear effect in predator-prey interactions
Xiaoying Wang et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2016)
Mathematical modeling of population dynamics with Allee effect
Gui-Quan Sun
NONLINEAR DYNAMICS (2016)
Predator-induced stress and the ecology of fear
Michael Clinchy et al.
FUNCTIONAL ECOLOGY (2013)
Perceived Predation Risk Reduces the Number of Offspring Songbirds Produce per Year
Liana Y. Zanette et al.
SCIENCE (2011)
Stability and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays
Ying Qu et al.
PHYSICA D-NONLINEAR PHENOMENA (2010)
The roles of predator maturation delay and functional response in determining the periodicity of predator-prey cycles
Hao Wang et al.
MATHEMATICAL BIOSCIENCES (2009)
Bifurcations for a predator-prey system with two delays
Yongli Song et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2008)
On stability crossing curves for general systems with two delays
KQ Gu et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2005)
Scared to death? The effects of intimidation and consumption in predator-prey interactions
EL Preisser et al.
ECOLOGY (2005)
Predator-prey models with delay and prey harvesting
A Martin et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2001)