Stabilization in a 3D eco‐epidemiological model: From the complete extinction of a predator population to their self‐healing

2020 ◽  
Vol 43 (18) ◽  
pp. 10646-10658
Author(s):  
Konstantin E. Starkov ◽  
Alexander P. Krishchenko
Keyword(s):  
Epidemiological Model ◽  
Predator Population ◽  
Self Healing ◽  
Complete Extinction

A cannibalistic eco-epidemiological model with disease in predator population

2017 ◽  
Vol 57 (1-2) ◽  
pp. 161-197 ◽  
Author(s):  
Santosh Biswas ◽  
Sudip Samanta ◽  
Joydev Chattopadhyay
Keyword(s):  
Epidemiological Model ◽  
Predator Population ◽  
Disease In Predator

Global stability and Hopf bifurcation of an eco-epidemiological model with time delay

2019 ◽  
Vol 12 (06) ◽  
pp. 1950062
Author(s):  
Jinna Lu ◽  
Xiaoguang Zhang ◽  
Rui Xu
Keyword(s):  
Time Delay ◽  
Global Stability ◽  
Local Stability ◽  
Sufficient Conditions ◽  
Epidemiological Model ◽  
Hopf Bifurcations ◽  
Lyapunov Functionals ◽  
Predator Population ◽  
Disease Free ◽  
Transmissible Disease

In this paper, an eco-epidemiological model with time delay representing the gestation period of the predator is investigated. In the model, it is assumed that the predator population suffers a transmissible disease and the infected predators may recover from the disease and become susceptible again. By analyzing corresponding characteristic equations, the local stability of each of feasible equilibria and the existence of Hopf bifurcations at the disease-free and coexistence equilibria are established, respectively. By means of Lyapunov functionals and LaSalle’s invariance principle, sufficient conditions are obtained for the global stability of the coexistence equilibrium, the disease-free equilibrium and the predator-extinct equilibrium of the system, respectively.

Impact of fear on a delayed eco-epidemiological model for migratory birds

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Caihong Song ◽  
Ning Li
Keyword(s):  
Disease Transmission ◽  
Migratory Birds ◽  
Transmission Rate ◽  
Equilibrium Points ◽  
Model System ◽  
Epidemiological Model ◽  
Predator Population ◽  
Type Ii ◽  
Fear Effect ◽  
Simulation Results

Abstract In this paper, a delayed eco-epidemiological model including susceptible migratory birds, infected migratory birds and predator population is proposed by us. The interaction between predator and prey is represented by functional response of Leslie–Gower Holling-type II. Fear effect is considered in the model. We assume that the growth rate and activity of prey population can be reduced because of fear effect of predator, and this series of behaviors will indirectly slow down the spread of diseases. Positivity, boundedness, persistence criterion, and stability of equilibrium points of the system are analyzed. Transcritical bifurcation and Hopf-bifurcation respect to important parameters of the system have been discussed both analytically and numerically (e.g. fear of predator, disease transmission rate of prey, and delay). Numerical simulation results show that fear can not only eliminate the oscillation behavior caused by high disease transmission rate and long delay in the model system, but also eliminate the disease.

Alternative food and external source of infection stabilize predator–prey oscillations — A conclusion drawn from an eco-epidemiological model

2015 ◽  
Vol 08 (03) ◽  
pp. 1550032 ◽  
Author(s):  
Krishna Pada Das
Keyword(s):  
Limit Cycle ◽  
Infection Rate ◽  
External Source ◽  
Epidemiological Model ◽  
Alternative Food ◽  
Predator Population ◽  
Limit Cycle Oscillations ◽  
Predator Prey ◽  
Source Of Infection ◽  
Half Saturation Constant

Das et al. [Effect of disease-selective predation on prey infected by contact and external sources, Biosystems 95(3) (2009) 188–199] proposed an eco-epidemiological model where the prey species is infected through the external source of infection and contact of the species. In this present study we have modified their model by assuming that the predator consumes both the susceptible as well as the infected prey following the modified Holling type-II functional response. Our main focusing points of this study are the role of infection rate (both internal and external), alternative food, and half-saturation constant in the predator–prey dynamics with disease in the prey population. We have shown the local stability of the boundary as well as the interior equilibrium point under certain conditions. We have also worked out the permanence of the system. Our simulation results show that the system enters into limit cycle oscillations from stable position for higher values of the contact rate. But it is also shown that the external infection rate, enrichment of the alternative food of the predator population and the half-saturation constant can prevent limit cycle oscillations and stabilize the system. Thus external disease propagation, enrichment of the alternative food resource, and the half-saturation constant are the key factors for preventing the oscillatory behavior of the species.

Autonomous self-healing polyisoprene elastomers with high modulus and good toughness based on the synergy of dynamic ionic crosslinks and highly disordered crystals

2020 ◽  
Vol 11 (41) ◽  
pp. 6549-6558
Author(s):  
Yohei Miwa ◽  
Mayu Yamada ◽  
Yu Shinke ◽  
Shoichi Kutsumizu
Keyword(s):  
Mechanical Properties ◽  
Room Temperature ◽  
Self Healing ◽  
High Modulus ◽  
Disordered Crystals ◽  
Ionic Crosslinks

We designed a novel polyisoprene elastomer with high mechanical properties and autonomous self-healing capability at room temperature facilitated by the coexistence of dynamic ionic crosslinks and crystalline components that slowly reassembled.

Congenital self-healing histiocytosis

1982 ◽  
Vol 118 (4) ◽  
pp. 267-272 ◽  
Author(s):  
E. Bonifazi
Keyword(s):  
Self Healing
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