Explain how the math properties manifest as physical

Question

PROJECT TITLE: MODELLING POPULATION

1) Describe your system.

A) Background

B) Define the problem

C) Evaluate the mathematical properties of your system - Order ODE

- Linear and non linear
- coupled
-existence and uniqueness

2) Full bibliography

A) People consulted

B) Books

C) Article and webpages

2) Body and conclusion

A) Graph solution

B) Explain how the math properties manifest as physical consequences

We need to find some equation like the following ,and then solve it.

b, a, k_s, k_w, > 0

dp_s/dt  = K_SP_S -aP_n

dp_w/dt = bp_sⁿp_w

K_w (P_s) = bp_sⁿ

P_s" -k_sp_s' -bp_sⁿp_s' + bk_sp_sⁿ⁺¹ = 0

P_w = e^∫bpndt