Two-species interactions: Host-Parasitoid system

Presentation on theme: "Two-species interactions: Host-Parasitoid system"— Presentation transcript:

1 Two-species interactions: Host-Parasitoid system

2 Two-species interactions: Host-Parasitoid system
=density of host species in generation t, =density of parasitoid in generation t, = =fraction of hosts not parasitized, =host reproductive rate, =average number of viable eggs laid by a parasitoid on a single host. f c

3 Two-species interactions: Host-Parasitoid system
Estimation of the function Assume the probability of encounter follows Poisson Distribution: a: searching efficiency of parasitoids

4 Two-species interactions: Host-Parasitoid system
Limitation of Growth Rate Due to the carrying capacity of environment to the hosts

5 Two-species interactions: Host-Parasitoid system
Other factors influence the dynamic behavior 1.Efficiency of the searching 2.Heterogeneity of the environment (refuges) :the fraction of the population that can retreat to a refuge

6 傳染病傳播的數學模型

7 傳染病傳播的數學模型

8 傳染病傳播的數學模型

9 傳染病傳播的數學模型

10 傳染病傳播的數學模型

11 傳染病傳播的數學模型

12 傳染病傳播的數學模型