[PDF] Top 20 Asymptotic behavior of a diffusive eco epidemiological model with an infected prey population

... of prey which is consumed by its predator depends only on ...predator-prey model in heterogeneous situations should be had the ratio-dependent functional response, which the per capita predator ... See full document

... the infected prey (the carrying capacity of the environment for the prey population or the transmission coefficient), there appear chaos, Hopf (flip) bifurcation, local stability, flip (Hopf ) ... See full document

... predator-prey model with Beddington-DeAngelis functional response and a transmissible disease spreading among the predator ...al asymptotic stability of each of feasible equilibria has been ... See full document

... an eco-epidemiological model describing a prey-predator system with switching in the predator is proposed for study, the system involving an SIS epidemic disease in prey ...the ... See full document

... predator-prey model with self- and cross-population pressure is ...the model are dicussed. In addition, global asymptotic stability of the positive equilibrium point for the ... See full document

... In population management, many species are harvested or mined to balance the ...moose population to normal level [34]. Biswas et al.[4] studied an eco-epidemiological system with weak Allee ... See full document

... the prey population, the infected preys are more likely to be captured by ...and diffusive predator-prey system with disease in the prey is ... See full document

... prey population. Further, the possibility of risk of extinction of prey population has been increased due to time lag for ...human population and fish population in a certain ... See full document

... species eco-epidemiological ...and asymptotic behaviors around the equilibrium points of its deterministic ...predator-prey model with white ... See full document

... [25,29] model was a milestone progress in the study of predator-prey ...[20], epidemiological studies also received special attention to the ...mathematical model on this ...in prey ... See full document

... and prey interactions with diseases in one population or both populations, have become important tools in ana- lyzing the spread and control of infectious diseases, and hence have received much atten- tion ... See full document

... new eco-epidemiological model considering disease in prey population (rabbit), which is consumed by predator population (Iberian lynx) and discuss the role of asymptotic ... See full document

... The occurrence of more cases of a disease than would be expected in a community or region during a given time period is called an epidemic. An epidemic is the rapid spread of infectious disease to a large number of ... See full document

... In order to verify our theoretical results, we consider some interesting numerical exam- ples in this section. These examples represent different types of qualitative behavior of system (). First four examples ... See full document

... From Figure 2, it is observe that the interior equilibrium point E ∗ (x ∗ , y ∗ , z ∗ ) is stable under suitable value of parameters. It is also observed that stability of interior equilibrium point is highly sensitive ... See full document

... the prey-nullclines and the red lines are the ...(the prey nullcline is below the predator nullcline), suggesting there is no equilibrium point; (b) as we increase the slope ... See full document

... A strongly coupled self- and cross-diffusion predator-prey system with Holling type II functional response is considered. Using the energy estimate, Sobolev embedding theorem and bootstrap arguments, the global ... See full document

... so-called eco-epidemiological model is the combination of infection into ecolog- ical ...the prey [–, , ]. When we have disease in the prey, the predator may consume on both the ... See full document

... the infected cell fills with parasites and bursts, releasing tachyzoites, the motile, asexual reproducing form of the ...kDa). Infected cells secrete the factor which inhibits the cell cycle of neighboring ... See full document

... predator-prey model with disease in predator by introducing standard infection rate σ ( ) ( ) ( ) t S t I t ( S t ( ) ( ) + I t ) and saturated predation rate c t X t S t ( ) ( ) ( ) ( ) ( h t + X t ( ) ) , ... See full document