Ratio-dependent predator-prey models of interacting populations
From MaRDI portal
Publication:841810
DOI10.1007/s11538-008-9368-4zbMath1170.92027OpenAlexW1995191236WikidataQ51672966 ScholiaQ51672966MaRDI QIDQ841810
Publication date: 18 September 2009
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-008-9368-4
stabilitybifurcationpredator-preypermanenceratio-dependencecompetition among predatorsparadox of enrichment
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (74)
Bifurcations in the diffusive Bazykin model ⋮ Patterns formations in a diffusive ratio-dependent predator-prey model of interacting populations ⋮ Effect of prey refuge on spatiotemporal dynamics of the reaction-diffusion system ⋮ Effects of additional food on an ecoepidemic model with time delay on infection ⋮ Bifurcations and Bistability of an Age-Structured Viral Infection Model with a Nonmonotonic Immune Response ⋮ On a non-selective harvesting prey-predator model with Hassell-Varley type functional response ⋮ Spatiotemporal dynamics of reaction-diffusion models of interacting populations ⋮ Dynamical complexity of a delay-induced eco-epidemic model with Beddington-DeAngelis incidence rate ⋮ Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting ⋮ Noise-induced extinction for a ratio-dependent predator-prey model with strong Allee effect in prey ⋮ Stability analysis of a food chain model consisting of two competitive preys and one predator ⋮ Asymptotic analysis of schistosomiasis persistence in models with general functions ⋮ Rich dynamics of a stochastic Michaelis-Menten-type ratio-dependent predator-prey system ⋮ Spatial pattern in a diffusive predator–prey model with sigmoid ratio-dependent functional response ⋮ Do prey handling predators really matter: subtle effects of a Crowley-Martin functional response ⋮ Dynamical transition and bifurcation of a diffusive predator-prey model with an Allee effect on prey ⋮ Existence and the dynamical behaviors of the positive solutions for a ratio-dependent predator-prey system with the crowing term and the weak growth ⋮ Understanding the Toxic Effect on Marin Food Chain Ecosystem: A Mathematical Approach and Optimal Control Technique ⋮ A Mathematical Study for the Stability of Two Predator and One Prey with Infection in First Predator using Fuzzy Impulsive Control ⋮ Bifurcation analysis of a respiratory disease model about air pollution direct and indirect effects ⋮ Bifurcation analysis of a predator–prey model with Beddington–DeAngelis functional response and predator competition ⋮ Extinction and strong persistence in the Beddington–DeAngelis predator–prey random model ⋮ Multiple bifurcations in a discrete Bazykin predator-prey model with predator intraspecific interactions and ratio-dependent functional response ⋮ Bifurcation analysis of a discrete-time ratio-dependent predator-prey model with Allee effect ⋮ A detailed study of the Beddington-DeAngelis predator-prey model ⋮ Effect of delay in a Lotka-Volterra type predator-prey model with a transmissible disease in the predator species ⋮ Complex dynamics in a prey predator system with multiple delays ⋮ Bifurcation Analysis for a Food Chain Model with Nonmonotonic Nutrition Conversion Rate of Predator to Top Predator ⋮ Dynamic study of a predator-prey model with Allee effect and Holling type-I functional response ⋮ Tristable Phenomenon in a Predator–Prey System Arising from Multiple Limit Cycles Bifurcation ⋮ Study of a tri-trophic prey-dependent food chain model of interacting populations ⋮ Dynamics of additional food provided predator-prey system with mutually interfering predators ⋮ Existence of complex patterns in the Beddington-DeAngelis predator-prey model ⋮ Complex dynamics of a discrete predator-prey system with a strong Allee effect on the prey and a ratio-dependent functional response ⋮ Dynamical analysis of a Beddington-DeAngelis interacting species system with prey harvesting ⋮ Bifurcation analysis of models with uncertain function specification: how should we proceed? ⋮ Effect of diffusion and cross-diffusion in a predator-prey model with a transmissible disease in the predator species ⋮ Nonlinear analysis in a nutrient-algae-zooplankton system with sinking of algae ⋮ Persistence and extinction of a stochastic modified Bazykin predator-prey system with Lévy jumps ⋮ Mathematical analysis on an extended Rosenzweig-MacArthur model of tri-trophic food chain ⋮ Spatial patterns through Turing instability in a reaction-diffusion predator-prey model ⋮ A predator-prey model with generic birth and death rates for the predator and Beddington-DeAngelis functional response ⋮ The dynamics of two-species allelopathic competition with optimal harvesting ⋮ Dynamics of fisheries with prey reserve and harvesting ⋮ Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System ⋮ Effect of the protection zone on coexistence of the species for a ratio-dependent predator-prey model ⋮ Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response ⋮ Comparative analysis between prey-dependent and ratio-dependent predator-prey systems relating to patterning phenomenon ⋮ Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis-Menten type prey-harvesting ⋮ Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting ⋮ Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order ⋮ Hopf bifurcation analysis for a semiratio-dependent predator-prey system with two delays ⋮ Positive solutions for a diffusive Bazykin model in spatially heterogeneous environment ⋮ A predator-prey model with disease in the predator species only ⋮ Analysis of Bogdanov-Takens bifurcations in a spatiotemporal harvested-predator and prey system with Beddington-DeAngelis-type response function ⋮ Additional food induced Turing patterns for a diffusive predator-prey model ⋮ Stochastic modified Bazykin predator-prey model with Markovian switching ⋮ Qualitative analysis of a predator-prey system with double Allee effect in prey ⋮ Bifurcations and global dynamics in a predator-prey model with a strong Allee effect on the prey, and a ratio-dependent functional response ⋮ Analysis on a stochastic two-species ratio-dependent predator-prey model ⋮ Ecoepidemics with infected prey in herd defence: the harmless and toxic cases ⋮ A delayed ratio-dependent predator-prey model of interacting populations with Holling type III functional response ⋮ Existence of spatial patterns in reaction–diffusion systems incorporating a prey refuge ⋮ Allee effect can simplify the dynamics of a prey-predator model ⋮ Stability and bifurcation analysis of a ratio-dependent community dynamics model on Batesian mimicry ⋮ Monotonic and nonmonotonic immune responses in viral infection systems ⋮ Coexistence states of a ratio-dependent predator-prey model with nonlinear diffusion ⋮ Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay ⋮ The role of strong Allee effect and protection zone on a diffusive prey-predator model ⋮ Dynamical analysis of tumor-immune-help T cells system ⋮ Pattern Formation in Intra-Specific Competition Food Chain System with Bifurcation and Chaos Control ⋮ Time-delayed and stochastic effects in a predator–prey model with ratio dependence and Holling type III functional response ⋮ Complex dynamics in a ratio-dependent two-predator one-prey model ⋮ Stability and Hopf bifurcation of a predator-prey model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- About deterministic extinction in ratio-dependent predator-prey models
- Effects of spatial grouping on the functional response of predators
- Global qualitative analysis of a ratio-dependent predator-prey system
- Global dynamics of a ratio-dependent predator-prey system
- Rich dynamics of a ratio-dependent one-prey two-predators model
- Parametric analysis of the ratio-dependent predator-prey model
- A ratio-dependent predator-prey model with disease in the prey
- A ratio-dependent food chain model and its applications to biological control.
- Infection in prey population may act as a biological control in ratio-dependent predator–prey models
- A predator–prey model with disease in the prey species only
- An ecoepidemiological model with disease in predator: the ratio‐dependent case
- Identifying predator-prey processes from time-series
- Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
This page was built for publication: Ratio-dependent predator-prey models of interacting populations
