Fig 3 - uploaded by Fabian Jan Schwarzendahl
Content may be subject to copyright.
State diagrams for models including chemotaxis and hydrodynamic interactions for varying v1/v2 and α1/α2. (i): chemotaxis. (ii): force monopole. (iii): pusher-type swimmer (iv): puller-type swimmer. State classification is according to Table 1.
Source publication
The survival chance of a prey chased by a predator depends not only on their relative speeds but importantly also on the local environment they have to face. For example, a wolf chasing a deer might take a long time to cross a river which can quickly be crossed by the deer. Here, we propose a simple predator-prey model for a situation in which both...
Contexts in source publication
Context 1
... A 1 and A 2 control the strength of chemoattraction or chemorepulsion. Figure 3(i) shows the resulting state diagram for catching and escaping, where we used A 1 = 0.001ξ 3 /τ and A 2 = 0.02ξ 3 /τ . The catching and escaping regions that we find are the same as for the ideal model (see Fig. 1(ii)), however, the relative sizes of the regions is changed by chemotactic interactions. ...
Context 2
... Fig. 3(ii) we show the resulting state diagram, where we only find two cases Ca. II and Es. I (here β = 1/τ ,η = 1/(τ ξ)). The hydrodynamic interaction between predator and prey leads to an effective repulsion, such that it is easier for the prey to escape, enhancing the Es. I region. Table ...
Context 3
... state diagram for pusher-type swimmers (λ = 0.1ξ, β = 1/τ , η = 1/(τ ξ)) is shown in Fig. 3(iii). Here, the situation is similar to the force monopole. We find one catching region (Ca. II) and one escaping region (Es. I). The pusher-type hydrodynamic interactions introduce an effective repulsion between predator and prey, which gives rise to larger catching times and subsequently the enhancement of the Ca. II region. Similarly, ...
Context 4
... puller type swimmers (λ = −0.1ξ, β = 1/τ , η = 1/(τ ξ)) we find the state diagram shown in Fig. 3(iv), which has three catching and one escape regions, similar to the ideal case ( Fig. 1(ii)). Here, the catching regions are enhanced since the puller-type hydrodynamic interactions give an effective attraction between predator and prey [50]. Interestingly, the Ca. V region is larger than in the ideal case, which shows that the attraction ...
Context 5
... A 1 and A 2 control the strength of chemoattraction or chemorepulsion. Figure 3(i) shows the resulting state diagram for catching and escaping, where we used A 1 = 0.001ξ 3 /τ and A 2 = 0.02ξ 3 /τ . The catching and escaping regions that we find are the same as for the ideal model (see Fig. 1(ii)), however, the relative sizes of the regions is changed by chemotactic interactions. ...
Context 6
... Fig. 3(ii) we show the resulting state diagram, where we only find two cases Ca. II and Es. I (here β = 1/τ ,η = 1/(τ ξ)). The hydrodynamic interaction between predator and prey leads to an effective repulsion, such that it is easier for the prey to escape, enhancing the Es. I region. Table ...
Context 7
... state diagram for pusher-type swimmers (λ = 0.1ξ, β = 1/τ , η = 1/(τ ξ)) is shown in Fig. 3(iii). Here, the situation is similar to the force monopole. We find one catching region (Ca. II) and one escaping region (Es. I). The pusher-type hydrodynamic interactions introduce an effective repulsion between predator and prey, which gives rise to larger catching times and subsequently the enhancement of the Ca. II region. Similarly, ...
Context 8
... puller type swimmers (λ = −0.1ξ, β = 1/τ , η = 1/(τ ξ)) we find the state diagram shown in Fig. 3(iv), which has three catching and one escape regions, similar to the ideal case ( Fig. 1(ii)). Here, the catching regions are enhanced since the puller-type hydrodynamic interactions give an effective attraction between predator and prey [50]. Interestingly, the Ca. V region is larger than in the ideal case, which shows that the attraction ...
