The stability criterion (10) is plotted in terms of the log sensitivities of the attack rate f(h, p) to the prey (fh) and predator (fp) densities. The yellow line within the stability region separates the regions of negative real eigenvalues of the Jacobian matrix and complex eigenvalues with negative real parts. For this plot, the prey’s growth rate is assumed to be r = 2 per unit time and γ = 1 per unit time.</p
The dashed line at cei = 1 indicates the interpopulation and intrapopulation inhibition are the same...
In this paper, we investigate the stability of equilibrium in the stage-structured and density-depen...
Predator-prey population dynamics models suggest that prey populations suppressed by predators exper...
This article describes the dynamics of local stability equilibrium point models of interaction betwe...
<p>Regions shaded light grey correspond to a stable equilibrium, dark grey regions correspond to 2-p...
Here we examine the behavior of a rational Lotka - Volterra model which is a modification of the ord...
In the last 30 years the use of appropriate reaction terms in (spatial) ecology models has attracted...
We consider a general modified Gause type model of predation, for which the predator mortality rate ...
<p>The stability condition is satisfied when the eigenvalues are contained in the unit circle in the...
Stability of equilibrium points of the prey-predator model with diseases that spreads in predators w...
The purple and blue regions correspond to the parameters which lead to fixed values Xj = γ − β(1 − P...
Stability/instability analysis of biologically meningfull equilibria for a spatial ecology model bas...
<p>For fixed values of controls and , we identify the region of the space corresponding to stabili...
A two-species predator-prey system with diffusion term and stage structure is discussed, local stabi...
In this paper we present a deterministic and continuous model for one prey–one predator population m...
The dashed line at cei = 1 indicates the interpopulation and intrapopulation inhibition are the same...
In this paper, we investigate the stability of equilibrium in the stage-structured and density-depen...
Predator-prey population dynamics models suggest that prey populations suppressed by predators exper...
This article describes the dynamics of local stability equilibrium point models of interaction betwe...
<p>Regions shaded light grey correspond to a stable equilibrium, dark grey regions correspond to 2-p...
Here we examine the behavior of a rational Lotka - Volterra model which is a modification of the ord...
In the last 30 years the use of appropriate reaction terms in (spatial) ecology models has attracted...
We consider a general modified Gause type model of predation, for which the predator mortality rate ...
<p>The stability condition is satisfied when the eigenvalues are contained in the unit circle in the...
Stability of equilibrium points of the prey-predator model with diseases that spreads in predators w...
The purple and blue regions correspond to the parameters which lead to fixed values Xj = γ − β(1 − P...
Stability/instability analysis of biologically meningfull equilibria for a spatial ecology model bas...
<p>For fixed values of controls and , we identify the region of the space corresponding to stabili...
A two-species predator-prey system with diffusion term and stage structure is discussed, local stabi...
In this paper we present a deterministic and continuous model for one prey–one predator population m...
The dashed line at cei = 1 indicates the interpopulation and intrapopulation inhibition are the same...
In this paper, we investigate the stability of equilibrium in the stage-structured and density-depen...
Predator-prey population dynamics models suggest that prey populations suppressed by predators exper...