Keywords: وابسته به نسبت; Ratio-dependent; Refuge; Filippov system; Finite time stable;
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Global dynamics of a ratio-dependent Holling-Tanner predator-prey system
Keywords: وابسته به نسبت; Ratio-dependent; Existence and nonexistence of periodic solution; Poincaré-Bendixson Theorem; Global dynamics;
Stability and Hopf bifurcation analysis of a ratio-dependent predator–prey model with two time delays and Holling type III functional response
Keywords: وابسته به نسبت; Predator–prey system; Ratio-dependent; Local stability; Hopf bifurcation
Spatiotemporal dynamics of reaction-diffusion models of interacting populations
Keywords: وابسته به نسبت; Ratio-dependent; Reaction-diffusion system; Turing instability; Pattern formation;
Permanence for a two-species Gause-type ratio-dependent predator–prey system with time delay in a two-patch environment
Keywords: وابسته به نسبت; Predator–prey system; Permanence; Ratio-dependent; Dispersion; Delay
Impacts of maximum sustainable yield policy to prey-predator systems
Keywords: وابسته به نسبت; Prey-predator; Intraspecific competition; Ratio-dependent; Maximum sustainable total yield; Persistence;
Turing instabilities and spatio-temporal chaos in ratio-dependent Holling–Tanner model
Keywords: وابسته به نسبت; Ratio-dependent; Holling–Tanner model; Turing instability; Pattern; Chaos
Solutions for functional response experiments
Keywords: وابسته به نسبت; Functional response; Predator-dependent; Ratio-dependent; Flexible trait; Model selection
Positive periodic solutions for the neutral ratio-dependent predator–prey model
Keywords: وابسته به نسبت; Predator–prey model; Ratio-dependent; Periodic solution; Neutral; Coincidence degree
Uniform persistence for a discrete predator-prey system with delays
Keywords: وابسته به نسبت; Predator-prey; Discrete system; Uniform persistence; Ratio-dependent; Delays;
Positive periodic solutions for neutral delay ratio-dependent predator–prey model with Holling type III functional response
Keywords: وابسته به نسبت; Predator–prey model; Ratio-dependent; Periodic solution; Neutral; Coincidence degree
Positive periodic solutions for a neutral delay ratio-dependent predator–prey model with a Holling type II functional response
Keywords: وابسته به نسبت; Predator–prey model; Ratio-dependent; Periodic solution; Neutral; Coincidence degree
Multiple periodic solutions for impulsive Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses
Keywords: وابسته به نسبت; Ratio-dependent; Impulsive predator-prey system; Non-monotonic functional response; Multiple periodic solutions; Continuation theorem;
Existence and attractivity of a periodic solution for a ratio-dependent Leslie system with feedback controls
Keywords: وابسته به نسبت; Leslie system; Ratio-dependent; Coincidence degree; Lyapunov functional; Periodic solution; Global attractivity
Qualitative analysis for a ratio-dependent predator–prey model with disease and diffusion
Keywords: وابسته به نسبت; Ratio-dependent; Predator–prey model; Diffusion; Disease; Stability
Permanence and extinction of a three-species ratio-dependent food chain model with delay and prey diffusion
Keywords: وابسته به نسبت; 34D23; 92D25; 34D20; 34D40Predator–prey system; Ratio-dependent; Dispersal; Permanence; Extinction
Dynamics of a three-species ratio-dependent diffusive model
Keywords: وابسته به نسبت; Ratio-dependent; Stage-structure; Permanence; Periodic solution; Global asymptotic stability; Almost periodic solution
Existence of four positive periodic solutions for a ratio-dependent predator–prey system with multiple exploited (or harvesting) terms
Keywords: وابسته به نسبت; Predator–prey model; Ratio-dependent; Multiple exploited terms; Four positive periodic solutions; Coincidence degree theory
Permanence for a delayed discrete ratio-dependent predator–prey model with monotonic functional responses
Keywords: وابسته به نسبت; Predator–prey model; Ratio-dependent; Monotonic functional responses; Permanence
Pattern formation of a predator–prey model
Keywords: وابسته به نسبت; Ratio-dependent; Predator–prey; Pattern formation
Periodic solution of a delayed ratio-dependent predator–prey model with monotonic functional response and impulse
Keywords: وابسته به نسبت; 39A10; 39A12Predator–prey system; Impulse; Periodic solution; Ratio-dependent; Delay
Hopf bifurcation and non-hyperbolic equilibrium in a ratio-dependent predator–prey model with linear harvesting rate: Analysis and computation
Keywords: وابسته به نسبت; Predator–prey model; Ratio-dependent; Linear harvesting rate; Hopf bifurcation; Periodic solutions; Non-hyperbolic equilibrium
Multiple periodic solutions in delayed Gause-type ratio-dependent predator–prey systems with non-monotonic numerical responses
Keywords: وابسته به نسبت; Predator–prey system; Ratio-dependent; Non-monotonic numerical response; Periodic solution; Coincidence degree
Positive periodic solutions in generalized ratio-dependent predator–prey systems
Keywords: وابسته به نسبت; 34K15; 92D25; 34C25Predator–prey system; Ratio-dependent; Periodic solution; Coincidence degree
Periodicity in a ratio-dependent predator–prey system with stage-structured predator on time scales
Keywords: وابسته به نسبت; 39A12; 92D25Time scales; Ratio-dependent; Predator–prey systems; Periodic solution; Coincidence degree
Permanence in delayed ratio-dependent predator–prey models with monotonic functional responses
Keywords: وابسته به نسبت; 34K15; 92D25; 34C25Predator–prey model; Ratio-dependent; Monotonic response functional; Permanence
A ratio-dependent predator–prey model with diffusion
Keywords: وابسته به نسبت; A predator–prey model; Ratio-dependent; Diffusion; Nonconstant positive steady-states; Degree theory