Found 1,388 Documents (Results 1–100)
Global dynamics and spatiotemporal heterogeneity of a preytaxis model with prey-induced acceleration. (English) Zbl 07930525
Stability and Hopf bifurcation of a delayed predator-prey system with nonlocal competition and herd behaviour. (English) Zbl 07924033
Effects of diffusion and advection on predator-prey dynamics in an advective patchy environment. (English) Zbl 07923505
Bogdanov-Takens bifurcation of codimension 3 of a predator-prey model with constant-yield predator releasing rate. (English) Zbl 07922066
Bifurcation and spatial patterns driven by predator-taxis in a predator-prey system with Beddington-DeAngelis functional response. (English) Zbl 07922039
Multiscale effects of predator-prey systems with Holling-III functional response. (English) Zbl 1542.92139
Theoretical and numerical bifurcation analysis of a discrete predator-prey system of Ricker type with weak Allee effect. (English) Zbl 07902967
Simultaneous Hopf and Bogdanov-Takens bifurcations on a Leslie-Gower type model with generalist predator and group defence. (English) Zbl 1542.92124
High codimension bifurcations analysis in a predator-prey system with Michaelis-Menten type predator harvesting. (English) Zbl 07896882
Stable spatially inhomogeneous periodic solutions for a diffusive Leslie-Gower predator-prey model. (English) Zbl 07893873
Stationary distribution of a stochastic three species predator-prey model with anti-predator behavior. (English) Zbl 1542.92114
Reaction-diffusion equations with transport noise and critical superlinear diffusion: global well-posedness of weakly dissipative systems. (English) Zbl 07879910
Complex dynamics in a general diffusive predator-prey model with predator maturation delay. (English) Zbl 07876099
Reviewer: Mengxin Chen (Xinxiang)
Investigating the effect of three different types of diffusion on the stability of a Leslie-Gower type predator-prey system. (English) Zbl 1542.35033
Dynamics of a generalist predator-prey system with harvesting and hunting cooperation in deterministic/stochastic environment. (English) Zbl 07869360
A nonautonomous model for the effect of rarity value on the dynamics of a predator-prey system with variable harvesting. (English) Zbl 07869353
Bifurcation analysis of predator-prey model with Cosner type functional response and combined harvesting. (English) Zbl 07861294
Qualitative structures near a degenerate fixed point of a discrete ratio-dependent predator-prey system. (English) Zbl 07859966
Reviewer: Eduardo Muñoz-Hernández (Madrid)
Propagation dynamics of a three species predator-prey system with a pair of strong-weak competing predators. (English) Zbl 1541.35283
An analysis of hybrid impulsive prey-predator-mutualist system on nonuniform time domains. (English) Zbl 1537.92084
Bifurcation analysis in a predator-prey model with strong Allee effect on prey and density-dependent mortality of predator. (English) Zbl 1539.37103
Global dynamics of a Leslie-Gower predator-prey model in open advective environments. (English) Zbl 1541.35041
Reviewer: Mengxin Chen (Xinxiang)
Bifurcations, chaos analysis and control in a discrete predator-prey model with mixed functional responses. (English) Zbl 1541.39017
Geometrical and numerical analysis of predator-prey system based on the Allee effect in predator. (English) Zbl 1539.92097
Bifurcation analysis of a predator-prey model with alternative prey and prey refuges. (English) Zbl 07848315
Analysis of long transients and detection of early warning signals of extinction in a class of predator-prey models exhibiting bistable behavior. (English) Zbl 07846249
Turing patterns induced by cross-diffusion in a predator-prey system with functional response of Holling-II type. (English) Zbl 1537.35054
A stochastic predator-prey model with distributed delay and Ornstein-Uhlenbeck process: characterization of stationary distribution, extinction, and probability density function. (English) Zbl 1537.92098
Boundedness and stability of a quasilinear three-species predator-prey model with competition mechanism. (English) Zbl 1537.35091
Global classical solutions to a predator-prey model with nonlinear indirect chemotaxis mechanism. (English) Zbl 1537.35012
Invasion analysis of a reaction-diffusion-advection predator-prey model in spatially heterogeneous environment. (English) Zbl 1541.37102
Hopf bifurcation in an age-structured predator-prey system with Beddington-DeAngelis functional response and constant harvesting. (English) Zbl 1540.35416
Nonlocal competition and spatial multi-peak periodic pattern formation in diffusive Holling-Tanner predator-prey model. (English) Zbl 1536.35052
The application of Liénard transformations to predator-prey systems. (English) Zbl 1539.34030
Reviewer: Lucyjane Silva (Goiânia)
Stability and dynamical bifurcation of a stochastic regime-switching predator-prey model. (English) Zbl 1533.92173
Codimension-two bifurcations of a two-dimensional discrete time Lotka-Volterra predator-prey model. (English) Zbl 1537.39010
Reviewer: Wan-Tong Li (Lanzhou)
Improvement of conditions for global boundedness in a predator-prey system with pursuit-evasion interaction. (English) Zbl 1532.35009
Existence and bifurcation of positive solutions to a class of predator-prey models with mutual interference among the predators. (English) Zbl 1532.35270
Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity. (English) Zbl 1533.35197
Nonconstant steady states in a predator-prey system with density-dependent motility. (English) Zbl 1531.35155
Hydra effect and global dynamics of predation with strong Allee effect in prey and intraspecific competition in predator. (English) Zbl 1530.92171
A robust multiplicity result in a generalized diffusive predator-prey model. (English) Zbl 1533.35124
Double-Hopf bifurcation and pattern formation of a Gause-Kolmogorov-type system with indirect prey-taxis and direct predator-taxis. (English) Zbl 1530.35020
Dynamics of a Leslie-Gower predator-prey model with advection and free boundaries. (English) Zbl 1527.35507
Global existence and asymptotic behavior of a predator-prey chemotaxis system with inter-species interaction coefficients. (English) Zbl 1527.35067
Bogdanov-Takens bifurcation of codimensions 3 and 4 in a Holling and Leslie type predator-prey system with strong Allee effect. (English) Zbl 1528.34037
Reviewer: Paulo Santana (São José do Rio Preto)
Bifurcation analysis of a diffusive predator-prey model with hyperbolic mortality and prey-taxis. (English) Zbl 1518.35054
Dynamic analysis of a predator-prey model of Gause type with Allee effect and non-Lipschitzian hyperbolic-type functional response. (English) Zbl 1519.92210
Dynamical behaviors of a stochastic predator-prey model with anti-predator behavior. (English) Zbl 07920370
Dynamical study of the theta-logistic predator-prey model incorporating gregarious behavior of prey. (English) Zbl 07883549
Quantifying population dynamics via a geometric mean predator-prey model. (English) Zbl 1542.92107
Reviewer: Jian-Wen Sun (Lanzhou)
A diffusive Leslie-Gower type predator-prey model with two different free boundaries. (English) Zbl 1541.35568
Spatial-temporal patterns induced by time delay and taxis in a predator-prey system. (English) Zbl 1540.35033
Singular perturbation analysis for a Holling-Tanner model with additive Allee effect. (English) Zbl 07848284
Dynamics of a delayed predator-prey model with prey refuge, Allee effect and fear effect. (English) Zbl 07847310
Hopf bifurcation of a diffusive predator-prey system with nonlocal intraspecific competition. (English) Zbl 07835812
A discrete-time predator-prey model with selection and mutation. (English) Zbl 1540.37108
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 1-23 (2023).
Extinction and strong persistence in the Beddington-DeAngelis predator-prey random model. (English) Zbl 1536.92104
Bifurcations of a diffusive predator-prey model with prey-stage structure and prey-taxis. (English) Zbl 1536.92094
Stability and Hopf bifurcation of a generalized differential-algebraic biological economic system with the hybrid functional response and predator harvesting. (English) Zbl 07814861
On the existence of classical solutions of the cross-diffusion model predator-prey with a nonlinear prey-taxis. (English) Zbl 07806350
On a quasilinear fully parabolic predator-prey model with indirect pursuit-evasion interaction. (English) Zbl 1531.35046
Effects of B-D functional response and protection zone on a predator-prey model. (English) Zbl 1533.35127
Positive almost periodic solutions of nonautonomous evolution equations and application to Lotka-Volterra systems. (English) Zbl 1538.34237
A predator-prey system with prey social behavior and generalized Holling III functional response: role of predator-taxis on spatial patterns. (English) Zbl 07784848
Stability and bifurcation analysis in a diffusive predator-prey model with delay and spatial average. (English) Zbl 1531.35041
Reviewer: Mengxin Chen (Xinxiang)
New method to obtain the acute sill of an ecological model with complex polynomial perturbation. (English) Zbl 1530.92309
Global solutions near homogeneous steady states in a fully cross-diffusive predator-prey system with density-dependent motion. (English) Zbl 1536.35051
Reviewer: Mario Fuest (Hannover)
Systems of Stieltjes differential equations and application to a predator-prey model of an exploited fishery. (English) Zbl 1542.34004
Hopf and Turing-Hopf bifurcation analysis of a delayed predator-prey model with schooling behavior. (English) Zbl 1526.35038
Global bifurcation of coexistence states for a prey-taxis system with homogeneous Dirichlet boundary conditions. (English) Zbl 1525.35111
Traveling waves of predator-prey system with a sedentary predator. (English) Zbl 1528.34039
Reviewer: Jörg Härterich (Bochum)
The dynamics of pasture-herbivores-carnivores with sigmoidal density dependent harvesting. (English) Zbl 1527.92034
Convergence to traveling waves in reaction-diffusion systems with equal diffusivities. (English) Zbl 1523.35043
No sensitivity to functional forms in the Rosenzweig-MacArthur model with strong environmental stochasticity. (English) Zbl 1521.92067
A predator-prey biological model with combined birth rates, self-limitation and competition terms. (English) Zbl 1522.35227
The impact of predators of mosquito larvae on Wolbachia spreading dynamics. (English) Zbl 1521.92103
Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments. (English) Zbl 1522.92052
Exact nonclassical symmetry solutions of Lotka-Volterra-type population systems. (English) Zbl 1522.35022
Qualitative analysis for a diffusive predator-prey model with hunting cooperation and Holling type III functional response. (English) Zbl 1527.37097
Dynamics for a three-species predator-prey model with density-dependent motilities. (English) Zbl 1522.35081
A note on stability criteria in the periodic Lotka-Volterra predator-prey model. (English) Zbl 1540.34108
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