Exploring the dynamics of a Holling–Tanner model with cannibalism in both predator and prey population
DOI10.1142/S1793524518500109zbMath1381.92072OpenAlexW2766072631WikidataQ111174140 ScholiaQ111174140MaRDI QIDQ4600690
Ranjit Kumar Upadhyay, Rana D. Parshad, Aladeen Al Basheer, Emmanuel Quansah, Shengbin Yu
Publication date: 12 January 2018
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524518500109
stabilityTuring instabilityglobal attractionprey cannibalismpredator cannibalismHolling-tanner model
Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)
Related Items (9)
Cites Work
- Unnamed Item
- Unnamed Item
- Biological control via ``ecological damping: an approach that attenuates non-target effects
- Prey cannibalism alters the dynamics of Holling-Tanner-type predator-prey models
- Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
- Remarks on cannibalism and pattern formation in spatially extended prey-predator systems
- Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes
- Rich dynamic of a stage-structured prey-predator model with cannibalism and periodic attacking rate
- Geometric theory of semilinear parabolic equations
- A simple model of cannibalism
- Destabilizing effect of cannibalism on a structured predator-prey system
- The stabilizing role of cannibalism in a predator-prey system
- Global qualitative analysis of a ratio-dependent predator-prey system
- Diffusion and ecological problems: Modern perspectives.
- Mathematical biology. Vol. 1: An introduction.
- Birth rate effects on an age-structured predator-prey model with cannibalism in the prey
- Predator interference effects on biological control: the ``paradox of the generalist predator revisited
- On the stabilizing effect of cannibalism in stage-structured population models
- Predator cannibalism can give rise to regular spatial pattern in a predator-prey system
- Note on the permanence of a competitive system with infinite delay and feedback controls
- On the (dis) advantages of cannibalism
- Effect of prey growth and predator cannibalism rate on the stability of a structured population model
- The properties of a stochastic model for the predator-prey type of interaction between two species
- A juvenile–adult population model: climate change, cannibalism, reproductive synchrony, and strong Allee effects
- Cannibalism in discrete-time predator–prey systems
- The chemical basis of morphogenesis
- Global Stability for a Class of Predator-Prey Systems
- Cannibalism may control disease in predator population: result drawn from a model based study
This page was built for publication: Exploring the dynamics of a Holling–Tanner model with cannibalism in both predator and prey population