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Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 10/2016, Volume 26, Issue 11, pp. 2129 - 2162
We analyze predator-prey models in which the movement of predator searching for prey is the superposition of random dispersal and taxis directed toward the... 
prey-taxis | bifurcation | analytic semigroup | stability | chemotaxis | Predator'prey interactions | PATTERN-FORMATION | MATHEMATICS, APPLIED | GLOBAL BIFURCATION | CANCER INVASION | BEHAVIOR | CHEMOTAXIS SYSTEMS | Predator-prey interactions
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2019, Volume 347, pp. 808 - 838
This paper aims at controlling bifurcation of a fractional predator–prey system by an original extended delayed feedback controller. Firstly, some sufficient... 
Fractional-order | Extended feedback | Predator–prey system | Time delay | Bifurcation control | MATHEMATICS, APPLIED | STABILITY | DIFFERENTIAL SYSTEM | TIME-DELAY | DYNAMICAL BEHAVIORS | SYNCHRONIZATION | CHAOS | NEURAL-NETWORKS | Predator-prey system
Journal Article
Journal of Biosciences, ISSN 0250-5991, 9/2019, Volume 44, Issue 4, pp. 1 - 9
We constructed a discrete-time predator–prey model by adding prey refuge and Allee effects (predator saturation on prey and mate limitation on predator) to an... 
Life Sciences | Biomedicine, general | Life Sciences, general | Microbiology | Zoology | Allee effect | discrete dynamics | predator–prey model | Plant Sciences | refuge effect | Cell Biology | DYNAMICS | predator-prey model | BIOLOGY | Analysis | Models | Numerical analysis | Prey | Predators | Stability | Predator-prey simulation | Computer simulation | Saturation | Bifurcations | Stability analysis | Mathematical models | Refuges
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2013, Volume 398, Issue 1, pp. 278 - 295
In the present paper we discuss bifurcation analysis of a modified Leslie–Gower prey–predator model in the presence of nonlinear harvesting in prey. We give a... 
Bifurcation | Prey–predator model | Stability | Permanence | Prey-predator model | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | II SCHEMES | BEHAVIORS
Journal Article
Theoretical Population Biology, ISSN 0040-5809, 2004, Volume 66, Issue 3, pp. 259 - 268
A predator–prey model with logistic growth in the prey is modified to include an SIS parasitic infection in the prey with infected prey being more vulnerable... 
Prey | Stability | Predator | Disease | SIS | Equilibrium | prey | disease | predator | PERSISTENCE | COMMUNITIES | EVOLUTIONARY BIOLOGY | PARASITE POPULATION INTERACTIONS | DISEASES | GENETICS & HEREDITY | ECOLOGY | equilibrium | stability | Models, Theoretical | Predatory Behavior | Animals | Parasitic Diseases
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 12/2018, Volume 28, Issue 14, p. 1850179
This paper is concerned with a delayed predator–prey model with nonconstant death rate and constant-rate prey harvesting. We mainly study the impact of the... 
constant-rate prey harvesting | Predator-prey model with nonconstant death rate | delay | Hopf bifurcation | stability | SYSTEM | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MEMORY | MULTIDISCIPLINARY SCIENCES | DIFFERENTIAL-EQUATIONS | DIFFUSION
Journal Article
Nonlinear Dynamics, ISSN 0924-090X, 7/2019, Volume 97, Issue 2, pp. 1439 - 1450
In this paper, a predator–prey model with Holling-II type functional response and a prey refuge is considered. The existence of Hopf bifurcations at the... 
Engineering | Vibration, Dynamical Systems, Control | The largest Lyapunov exponent | Classical Mechanics | Automotive Engineering | Mechanical Engineering | Holling-II type | Refuge | Hopf bifurcation | SYSTEM | MECHANICS | LARGEST LYAPUNOV EXPONENT | STABILITY ANALYSIS | COMPETITION | DRIVEN | ENGINEERING, MECHANICAL | Information science | Models | Numerical analysis | Analysis
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 05/2019, Volume 77, Issue 10, pp. 2676 - 2694
We consider the prey-taxis system: in a smoothly bounded domain , with zero-flux boundary condition, where are positive constants and is a non-negative... 
Diffusive predator–prey model | Global solution | Prey-taxis | EXISTENCE | PATTERN-FORMATION | MATHEMATICS, APPLIED | STABILIZATION | PARABOLIC CHEMOTAXIS SYSTEM | BOUNDEDNESS | Diffusive predator prey model | BLOW-UP | Boundary conditions
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 08/2018, Volume 331, pp. 232 - 250
In this paper, we consider the positive solutions for a predator-prey model with cross-diffusion and Holling type II functional response. In particular, the... 
Bifurcation | Predator-prey model | Multiplicity | LOTKA-VOLTERRA COMPETITION | MATHEMATICS, APPLIED | GLOBAL BIFURCATION | STATES | EQUATIONS | SYSTEMS | PROTECTION ZONE
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2019, Volume 475, Issue 2, pp. 1054 - 1072
In this paper, we study a reaction-diffusion system with prey taxis which models the dynamics of a two-predator-one-prey ecosystem in which the predators... 
Global existence | Predator-prey model | Prey-taxis | Reaction-diffusion | Boundedness | Non-constant steady states | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | PARABOLIC CHEMOTAXIS SYSTEM
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 03/2019, Volume 29, Issue 3, p. 1950036
This study focuses on the spatial-temporal dynamics of predator–prey model with cross-diffusion where the intake rate of prey is per capita predator according... 
reaction-diffusion system | prey harvesting | pattern formation | Predator-prey model | cross-diffusion | SYSTEM | STABILITY | MULTIDISCIPLINARY SCIENCES | SELF | TIME-DELAY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | HOPF-BIFURCATION | DYNAMICS | BIFURCATION-ANALYSIS
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 02/2018, Volume 39, pp. 278 - 299
In this paper, we use energy method to study the global dynamical properties for nonnegative solutions of the following reaction–advection–diffusionsystem of... 
Global existence | Lotka–Volterra | Asymptotics | Boundedness | Predator–prey model with prey taxis | PATTERN-FORMATION | MATHEMATICS, APPLIED | KELLER-SEGEL SYSTEM | CHEMOTAXIS SYSTEM | Predator-prey model with prey taxis | BLOW-UP | Lotka-Volterra
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2011, Volume 217, Issue 22, pp. 9085 - 9104
In this paper, we analyze the dynamics of a delayed predator–prey system in the presence of harvesting. This is a modified version of the Leslie–Gower and... 
Predator–prey | Hopf bifurcation | Periodic solution | Harvesting | Delay | Predator-prey | LESLIE-GOWER | SYSTEM | MATHEMATICS, APPLIED | GLOBAL DYNAMICS | STABILITY | FISHERY | Dynamic tests | Stability | Dynamics | Bifurcation theory | Mathematical models | Dynamical systems
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 10/2018, Volume 28, Issue 11, p. 1850140
In this paper, we investigate the spatiotemporal dynamics of a Leslie–Gower predator–prey model incorporating a prey refuge subject to the Neumann boundary... 
Turing-Hopf bifurcation | steady-state bifurcation | Hopf bifurcation | pattern formation | POSITIVE STEADY-STATES | LESLIE-GOWER | SYSTEM | MULTIDISCIPLINARY SCIENCES | EPIDEMIC MODEL | REACTION-DIFFUSION MODEL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SPATIOTEMPORAL PATTERNS | DYNAMICS
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 02/2019, Volume 119, pp. 19 - 28
We discuss the stability and bifurcation analysis of predator-prey model in the presence of group defense and non-linear harvesting in prey. Mathematically, we... 
Non-linear harvesting | Equilibrium points | Bifurcation | Stability | Group defense | Predator-Prey model | SYSTEM | PARASITES | HERD BEHAVIOR | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | GLOBAL DYNAMICS | INTERFERENCE | BIFURCATION-ANALYSIS
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 10/2019, Volume 531, p. 121761
In the paper, we study a stochastic Holling–Tanner predator–prey system. First, by constructing a suitable stochastic Lyapunov function we establish sufficient... 
Stationary distribution and ergodicity | Extinction | Holling–Tanner predator–prey model | Threshold | LESLIE-GOWER | SYSTEM | Holling-Tanner predator-prey model | PHYSICS, MULTIDISCIPLINARY
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 05/2019, Volume 91, pp. 9 - 14
We study a predator–prey model with two preys and one predator. Our main concern is the invasion process of the predator into the habitat of two aborigine... 
Prey | Predator | Spreading speed | Invasion | MATHEMATICS, APPLIED | SLOW
Journal Article