program_9a.m

《Dynamical Systems with Applications using MATLAB》一书是用来介绍离散和连续系统下动态非线性系统理论的经典教材（分形、混沌、非线性系统）。这里的附件包含

% Chapter 9 - Interacting Species.
% Program_9a - The Holling-Tanner Model (Fig. 9.5(a)).
% Copyright Birkhauser 2004. Stephen Lynch.

% Phase portrait of a predator/prey model.
clear
hold on
sys=inline('[x(1)*(1-x(1)/7)-6*x(1)*x(2)/(7+7*x(1));0.2*x(2)*(1-.5*x(2)/x(1))]','t','x')
options = odeset('RelTol',1e-4,'AbsTol',1e-4);
[t,xa]=ode45(sys,[0 100],[7.1 .1],options);
plot(xa(:,1),xa(:,2))
axis([0 8 0 5])
fsize=15;
set(gca,'xtick',[0:2:8],'FontSize',fsize)
set(gca,'ytick',[0:2.5:5],'FontSize',fsize)
xlabel('x(t)','FontSize',fsize)
ylabel('y(t)','FontSize',fsize)
hold off

% End of Program_9a.