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Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment
We investigate the dynamics of a SIRS epidemiological model taking into account cross-
superdiffusion and delays in transmission, Beddington–DeAngelis incidence rate and …
superdiffusion and delays in transmission, Beddington–DeAngelis incidence rate and …
Existence and non-existence of spatial patterns in a ratio-dependent predator–prey model
In this paper, first we consider the global dynamics of a ratio-dependent predator–prey
model with density dependent death rate for the predator species. Analytical conditions for …
model with density dependent death rate for the predator species. Analytical conditions for …
Pattern formation and delay-induced instability in a Leslie–Gower type prey–predator system with Smith growth function
In this article, we have investigated the spatiotemporal dynamics and delay-induced
instability of a Leslie–Gower type prey–predator model under the influence of environmental …
instability of a Leslie–Gower type prey–predator model under the influence of environmental …
Bifurcation and optimal harvesting of a diffusive predator–prey system with delays and interval biological parameters
This paper deals with a delayed reaction–diffusion three-species Lotka–Volterra model with
interval biological parameters and harvesting. Sufficient conditions for the local stability of …
interval biological parameters and harvesting. Sufficient conditions for the local stability of …
Spatiotemporal dynamics and spatial pattern in a diffusive intraguild predation model with delay effect
R Han, B Dai - Applied Mathematics and Computation, 2017 - Elsevier
Based on biological meaning, a kind of diffusive intraguild predation (IGP: resource, IG prey
and IG predator) model with delay effect is investigated in this paper. The model has Holling …
and IG predator) model with delay effect is investigated in this paper. The model has Holling …
Stability and Hopf bifurcation of a delayed reaction–diffusion predator–prey model with anti-predator behaviour
In this paper, we study the dynamics of a delayed reaction–diffusion predator–prey model
with anti-predator behaviour. By using the theory of partial functional differential equations …
with anti-predator behaviour. By using the theory of partial functional differential equations …
Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response
A diffusive intraguild predation model with delay and Beddington-DeAngelis functional
response is considered. Dynamics including stability and Hopf bifurcation near the spatially …
response is considered. Dynamics including stability and Hopf bifurcation near the spatially …
[HTML][HTML] Stability of Hopf-bifurcating limit cycles in a diffusion-driven prey-predator system with Allee effect and time delay
In this paper, we investigate the effect of the gestation delay on the spatiotemporal pattern
formation in a prey-predator system with monotonic functional response with saturation and …
formation in a prey-predator system with monotonic functional response with saturation and …
Bifurcation behaviors analysis of a plankton model with multiple delays
A mathematical model describing the dynamics of toxin producing phytoplankton–
zooplankton interaction with instantaneous nutrient recycling is proposed. We have explored …
zooplankton interaction with instantaneous nutrient recycling is proposed. We have explored …
Spatiotemporal dynamics and Hopf bifurcation in a delayed diffusive intraguild predation model with Holling II functional response
R Han, B Dai - International Journal of Bifurcation and Chaos, 2016 - World Scientific
We propose a kind of delayed diffusive intraguild predation model with Holling II functional
response in this paper. By analyzing the eigenvalue spectrum, it is found that the stability or …
response in this paper. By analyzing the eigenvalue spectrum, it is found that the stability or …