Dynamical analysis of a plant-herbivore model: bifurcation and global stability
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Publication:2574346
DOI10.1007/BF02935808zbMath1097.34037OpenAlexW2047921169MaRDI QIDQ2574346
Tapan Saha, Malay Bandyopadhyay
Publication date: 21 November 2005
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02935808
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)
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Unnamed Item, Bifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response, Qualitative analysis of a predator-prey system with mutual interference and impulsive state feedback control, Dynamics of a plant–herbivore model with differential–difference equations, Period-doubling and Neimark-Sacker bifurcations of plant-herbivore models, Bifurcations, permanence and local behavior of the plant-herbivore model with logistic growth of plant biomass
Cites Work
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- Multiple limit cycles for predator-prey models
- Global stability and persistence of simple food chains
- Uniqueness of limit cycles in Gause-type models of predator-prey systems
- Some results on global stability of a predator-prey system
- Global stability of Gause-type predator-prey systems
- On global stability of a predator-prey system
- Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling
- Uniqueness of limit cycles in models for microparasitic and macroparasitic diseases
- Bioeconomic modelling of a three-species fishery with switching effect.
- Global dynamics of a ratio-dependent predator-prey system
- A nonlinear two-species oscillatory system: bifurcation and stability analysis
- Nonuniqueness of limit cycles of gause-type predator-prey systems
- Uniqueness of a Limit Cycle for a Predator-Prey System
- Competing Predators
- Qualitative properties of two-dimensional predator-prey systems
- Oscillatory behaviour of an autotroph-herbivore system with a type-III uptake function
- DETERMINISTIC AND STOCHASTIC ANALYSIS OF A NONLINEAR PREY-PREDATOR SYSTEM
