Add second year

second/semester2/CT248/Assignments/Assignment-06/shark_tuna_model.m

@@ -0,0 +1,14 @@
+function dydt = shark_tuna_model(t,x)
+% function to model the prey-predator population relations over time of
+% sharks & tuna 
+
+    global k;   % mentioning global variable x so that it can be used here 
+
+    dydt = [0; 0]; 
+    
+    % dS/dt = k1 S T - k2 S
+    dydt(1) = k(1)*x(1)*x(2)-k(2)*x(1); 
+    
+    % dT/dt = k3 T -k4 S T
+    dydt(2) = k(3)*x(2) - k(4) * x(1) * x(2); 
+end

second/semester2/CT248/Assignments/Assignment-06/test.m

@@ -0,0 +1,12 @@
+clear; 
+
+global k; 
+
+k = [0.015 0.7 0.5 0.01].'; 
+
+[t,y] = ode45(@shark_tuna_model, [0 50], [100 100]);
+plot(t,y); 
+title("SHARK-TUNA POPULATION DYNAMICS LIMIT CYCLING");
+xlabel("TIME"); 
+ylabel("POPULATION NUMBERS");
+legend("SHARKS", "TUNA", "Location", "northwest");