In this study, we consider a mathematical model of two competing prey and one predator system where the prey species follow Lotka}Volterra-type dynamics and the predator uptake functions are ratio dependent. We have derived the conditions for existence of di!erent boundary equilibria and discussed t
Persistence in models of predator-prey populations with diffusion
✍ Scribed by S.R Dunbar; K.P Rybakowski; K Schmitt
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 949 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper deals with the existence and nonexistence of nonconstant positive steady-state solutions to a ratio-dependent predator-prey model with diffusion and with the homogeneous Neumann boundary condition. We demonstrate that there exists a 0 (b) satisfying 0 < a 0 (b) < m 1 for 0 < b < m 1 , suc
In this paper, a predator-prey system with Beddington-De Angelis functional response and diffusion is considered. First, we study qualitative properties of solutions to this reaction-diffusion system. Then, by ,zsing topological degree, we establish the existence of the nonconstant positive steady-s
In this paper we are interested in studying the combined effects of harvesting and time delay on the dynamics of the generalized Gause type predator-prey models. It is shown that in these models the time delay may cause a stable equilibrium to become unstable and even a switching of stabilities, on
## Abstract The present paper deals with the problem of a classical predator–prey system with infection of prey population. A classical predator–prey system is split into three groups, namely susceptible prey, infected prey and predator. The relative removal rate of the susceptible prey due to infe